TSTP Solution File: COL091-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL091-2 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 00:39:59 EDT 2022
% Result : Unsatisfiable 1.58s 1.87s
% Output : Refutation 1.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL091-2 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 11:08:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.03 ============================== Prover9 ===============================
% 0.45/1.03 Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.03 Process 2812 was started by sandbox2 on n019.cluster.edu,
% 0.45/1.03 Tue May 31 11:08:26 2022
% 0.45/1.03 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2659_n019.cluster.edu".
% 0.45/1.03 ============================== end of head ===========================
% 0.45/1.03
% 0.45/1.03 ============================== INPUT =================================
% 0.45/1.03
% 0.45/1.03 % Reading from file /tmp/Prover9_2659_n019.cluster.edu
% 0.45/1.03
% 0.45/1.03 set(prolog_style_variables).
% 0.45/1.03 set(auto2).
% 0.45/1.03 % set(auto2) -> set(auto).
% 0.45/1.03 % set(auto) -> set(auto_inference).
% 0.45/1.03 % set(auto) -> set(auto_setup).
% 0.45/1.03 % set(auto_setup) -> set(predicate_elim).
% 0.45/1.03 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.03 % set(auto) -> set(auto_limits).
% 0.45/1.03 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.03 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.03 % set(auto) -> set(auto_denials).
% 0.45/1.03 % set(auto) -> set(auto_process).
% 0.45/1.03 % set(auto2) -> assign(new_constants, 1).
% 0.45/1.03 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.03 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.03 % set(auto2) -> assign(max_hours, 1).
% 0.45/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.03 % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.03 % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.03 % set(auto2) -> set(sort_initial_sos).
% 0.45/1.03 % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.03 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.03 % set(auto2) -> assign(max_megs, 400).
% 0.45/1.03 % set(auto2) -> assign(stats, some).
% 0.45/1.03 % set(auto2) -> clear(echo_input).
% 0.45/1.03 % set(auto2) -> set(quiet).
% 0.45/1.03 % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.03 % set(auto2) -> clear(print_given).
% 0.45/1.03 assign(lrs_ticks,-1).
% 0.45/1.03 assign(sos_limit,10000).
% 0.45/1.03 assign(order,kbo).
% 0.45/1.03 set(lex_order_vars).
% 0.45/1.03 clear(print_given).
% 0.45/1.03
% 0.45/1.03 % formulas(sos). % not echoed (175 formulas)
% 0.45/1.03
% 0.45/1.03 ============================== end of input ==========================
% 0.45/1.03
% 0.45/1.03 % From the command line: assign(max_seconds, 300).
% 0.45/1.03
% 0.45/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.76/1.03
% 0.76/1.03 % Formulas that are not ordinary clauses:
% 0.76/1.03
% 0.76/1.03 ============================== end of process non-clausal formulas ===
% 0.76/1.03
% 0.76/1.03 ============================== PROCESS INITIAL CLAUSES ===============
% 0.76/1.03
% 0.76/1.03 ============================== PREDICATE ELIMINATION =================
% 0.76/1.03 1 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(pair(A,C),F) # label(clause52) # label(axiom). [assumption].
% 0.76/1.03 2 -member(pair(pair(A,B),pair(C,D)),rmult(E,F,V6,V7)) | rmultE_c1(A,B,C,D,E,F,V6,V7) | rmultE_c2(A,B,C,D,E,F,V6,V7) # label(clause51) # label(axiom). [assumption].
% 0.76/1.03 Derived: member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | rmultE_c2(A,D,B,E,F,C,V6,V7). [resolve(1,a,2,b)].
% 0.76/1.03 3 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(A,E) # label(clause53) # label(axiom). [assumption].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | rmultE_c2(A,C,D,E,B,F,V6,V7). [resolve(3,a,2,b)].
% 0.76/1.03 4 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(C,E) # label(clause54) # label(axiom). [assumption].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(C,D),pair(A,E)),rmult(B,F,V6,V7)) | rmultE_c2(C,D,A,E,B,F,V6,V7). [resolve(4,a,2,b)].
% 0.76/1.03 5 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(B,V6) # label(clause55) # label(axiom). [assumption].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(C,A),pair(D,E)),rmult(F,V6,B,V7)) | rmultE_c2(C,A,D,E,F,V6,B,V7). [resolve(5,a,2,b)].
% 0.76/1.03 6 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(D,V6) # label(clause56) # label(axiom). [assumption].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(C,D),pair(E,A)),rmult(F,V6,B,V7)) | rmultE_c2(C,D,E,A,F,V6,B,V7). [resolve(6,a,2,b)].
% 0.76/1.03 7 member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | rmultE_c2(A,D,B,E,F,C,V6,V7). [resolve(1,a,2,b)].
% 0.76/1.03 8 -rmultE_c2(A,B,C,D,E,F,V6,V7) | member(pair(B,D),V7) # label(clause57) # label(axiom). [assumption].
% 0.76/1.03 9 -rmultE_c2(A,B,C,D,E,F,V6,V7) | member(C,E) # label(clause58) # label(axiom). [assumption].
% 0.76/1.03 10 -rmultE_c2(A,B,C,D,E,F,V6,V7) | A = C # label(clause59) # label(axiom). [assumption].
% 0.76/1.03 11 -rmultE_c2(A,B,C,D,E,F,V6,V7) | member(B,V6) # label(clause60) # label(axiom). [assumption].
% 0.76/1.03 12 -rmultE_c2(A,B,C,D,E,F,V6,V7) | member(D,V6) # label(clause61) # label(axiom). [assumption].
% 0.76/1.03 Derived: member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | member(pair(D,E),V7). [resolve(7,c,8,a)].
% 0.76/1.03 Derived: member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | member(B,F). [resolve(7,c,9,a)].
% 0.76/1.03 Derived: member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | A = B. [resolve(7,c,10,a)].
% 0.76/1.03 Derived: member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | member(D,V6). [resolve(7,c,11,a)].
% 0.76/1.03 Derived: member(pair(A,B),C) | -member(pair(pair(A,D),pair(B,E)),rmult(F,C,V6,V7)) | member(E,V6). [resolve(7,c,12,a)].
% 0.76/1.03 13 member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | rmultE_c2(A,C,D,E,B,F,V6,V7). [resolve(3,a,2,b)].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | member(pair(C,E),V7). [resolve(13,c,8,a)].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | member(D,B). [resolve(13,c,9,a)].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | A = D. [resolve(13,c,10,a)].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | member(C,V6). [resolve(13,c,11,a)].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | member(E,V6). [resolve(13,c,12,a)].
% 0.76/1.03 14 member(A,B) | -member(pair(pair(C,D),pair(A,E)),rmult(B,F,V6,V7)) | rmultE_c2(C,D,A,E,B,F,V6,V7). [resolve(4,a,2,b)].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(C,D),pair(A,E)),rmult(B,F,V6,V7)) | member(pair(D,E),V7). [resolve(14,c,8,a)].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(C,D),pair(A,E)),rmult(B,F,V6,V7)) | member(A,B). [resolve(14,c,9,a)].
% 0.76/1.03 15 member(A,B) | -member(pair(pair(C,A),pair(D,E)),rmult(F,V6,B,V7)) | rmultE_c2(C,A,D,E,F,V6,B,V7). [resolve(5,a,2,b)].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(C,A),pair(D,E)),rmult(F,V6,B,V7)) | member(pair(A,E),V7). [resolve(15,c,8,a)].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(C,A),pair(D,E)),rmult(F,V6,B,V7)) | C = D. [resolve(15,c,10,a)].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(C,A),pair(D,E)),rmult(F,V6,B,V7)) | member(A,B). [resolve(15,c,11,a)].
% 0.76/1.03 16 member(A,B) | -member(pair(pair(C,D),pair(E,A)),rmult(F,V6,B,V7)) | rmultE_c2(C,D,E,A,F,V6,B,V7). [resolve(6,a,2,b)].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(C,D),pair(E,A)),rmult(F,V6,B,V7)) | member(pair(D,A),V7). [resolve(16,c,8,a)].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(C,D),pair(E,A)),rmult(F,V6,B,V7)) | C = E. [resolve(16,c,10,a)].
% 0.76/1.03 Derived: member(A,B) | -member(pair(pair(C,D),pair(E,A)),rmult(F,V6,B,V7)) | member(A,B). [resolve(16,c,12,a)].
% 0.76/1.03 17 -ap_contractE_c1(A,B,C) | member(C,comb) # label(ap_contractE2) # label(axiom). [assumption].
% 0.76/1.03 18 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c1(A,B,C) | ap_contractE_c2(A,B,C) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) # label(ap_contractE1) # label(axiom). [assumption].
% 0.76/1.03 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c2(B,C,A) | ap_contractE_c3(B,C,A) | ap_contractE_c4(B,C,A). [resolve(17,a,18,b)].
% 0.76/1.03 19 -ap_contractE_c1(A,B,C) | member(B,comb) # label(ap_contractE3) # label(axiom). [assumption].
% 0.76/1.03 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c2(B,A,C) | ap_contractE_c3(B,A,C) | ap_contractE_c4(B,A,C). [resolve(19,a,18,b)].
% 0.76/1.03 20 -ap_contractE_c1(A,B,C) | A = comb_app(combK,C) # label(ap_contractE4) # label(axiom). [assumption].
% 0.76/1.03 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c2(A,C,B) | ap_contractE_c3(A,C,B) | ap_contractE_c4(A,C,B). [resolve(20,a,18,b)].
% 0.76/1.03 21 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c2(B,C,A) | ap_contractE_c3(B,C,A) | ap_contractE_c4(B,C,A). [resolve(17,a,18,b)].
% 0.76/1.03 22 -ap_contractE_c2(A,B,C) | member(ap_contractE_sk1p(A,B,C),comb) # label(ap_contractE5) # label(axiom). [assumption].
% 0.76/1.03 23 -ap_contractE_c2(A,B,C) | member(ap_contractE_sk1q(A,B,C),comb) # label(ap_contractE6) # label(axiom). [assumption].
% 0.76/1.04 24 -ap_contractE_c2(A,B,C) | member(B,comb) # label(ap_contractE7) # label(axiom). [assumption].
% 0.76/1.04 25 -ap_contractE_c2(A,B,C) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) # label(ap_contractE8) # label(axiom). [assumption].
% 0.76/1.04 26 -ap_contractE_c2(A,B,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) # label(ap_contractE9) # label(axiom). [assumption].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c3(B,C,A) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1p(B,C,A),comb). [resolve(21,c,22,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c3(B,C,A) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1q(B,C,A),comb). [resolve(21,c,23,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c3(B,C,A) | ap_contractE_c4(B,C,A) | member(C,comb). [resolve(21,c,24,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c3(B,C,A) | ap_contractE_c4(B,C,A) | A = comb_app(comb_app(ap_contractE_sk1p(B,C,A),C),comb_app(ap_contractE_sk1q(B,C,A),C)). [resolve(21,c,25,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c3(B,C,A) | ap_contractE_c4(B,C,A) | B = comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)). [resolve(21,c,26,a)].
% 0.76/1.04 27 member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c2(B,A,C) | ap_contractE_c3(B,A,C) | ap_contractE_c4(B,A,C). [resolve(19,a,18,b)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c3(B,A,C) | ap_contractE_c4(B,A,C) | member(ap_contractE_sk1p(B,A,C),comb). [resolve(27,c,22,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c3(B,A,C) | ap_contractE_c4(B,A,C) | member(ap_contractE_sk1q(B,A,C),comb). [resolve(27,c,23,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c3(B,A,C) | ap_contractE_c4(B,A,C) | member(A,comb). [resolve(27,c,24,a)].
% 0.76/1.04 28 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c2(A,C,B) | ap_contractE_c3(A,C,B) | ap_contractE_c4(A,C,B). [resolve(20,a,18,b)].
% 0.76/1.04 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c3(A,C,B) | ap_contractE_c4(A,C,B) | member(ap_contractE_sk1p(A,C,B),comb). [resolve(28,c,22,a)].
% 0.76/1.04 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c3(A,C,B) | ap_contractE_c4(A,C,B) | member(ap_contractE_sk1q(A,C,B),comb). [resolve(28,c,23,a)].
% 0.76/1.04 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c3(A,C,B) | ap_contractE_c4(A,C,B) | B = comb_app(comb_app(ap_contractE_sk1p(A,C,B),C),comb_app(ap_contractE_sk1q(A,C,B),C)). [resolve(28,c,25,a)].
% 0.76/1.04 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c3(A,C,B) | ap_contractE_c4(A,C,B) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)). [resolve(28,c,26,a)].
% 0.76/1.04 29 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c3(B,C,A) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1p(B,C,A),comb). [resolve(21,c,22,a)].
% 0.76/1.04 30 -ap_contractE_c3(A,B,C) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) # label(ap_contractE10) # label(axiom). [assumption].
% 0.76/1.04 31 -ap_contractE_c3(A,B,C) | member(B,comb) # label(ap_contractE11) # label(axiom). [assumption].
% 0.76/1.04 32 -ap_contractE_c3(A,B,C) | C = comb_app(ap_contractE_sk2q(A,B,C),B) # label(ap_contractE12) # label(axiom). [assumption].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1p(B,C,A),comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract). [resolve(29,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1p(B,C,A),comb) | member(C,comb). [resolve(29,c,31,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1p(B,C,A),comb) | A = comb_app(ap_contractE_sk2q(B,C,A),C). [resolve(29,c,32,a)].
% 0.76/1.04 33 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c3(B,C,A) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1q(B,C,A),comb). [resolve(21,c,23,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1q(B,C,A),comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract). [resolve(33,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1q(B,C,A),comb) | member(C,comb). [resolve(33,c,31,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1q(B,C,A),comb) | A = comb_app(ap_contractE_sk2q(B,C,A),C). [resolve(33,c,32,a)].
% 0.76/1.04 34 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c3(B,C,A) | ap_contractE_c4(B,C,A) | member(C,comb). [resolve(21,c,24,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(C,comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract). [resolve(34,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(C,comb) | member(C,comb). [resolve(34,c,31,a)].
% 0.76/1.04 35 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c3(B,C,A) | ap_contractE_c4(B,C,A) | A = comb_app(comb_app(ap_contractE_sk1p(B,C,A),C),comb_app(ap_contractE_sk1q(B,C,A),C)). [resolve(21,c,25,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | A = comb_app(comb_app(ap_contractE_sk1p(B,C,A),C),comb_app(ap_contractE_sk1q(B,C,A),C)) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract). [resolve(35,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | A = comb_app(comb_app(ap_contractE_sk1p(B,C,A),C),comb_app(ap_contractE_sk1q(B,C,A),C)) | A = comb_app(ap_contractE_sk2q(B,C,A),C). [resolve(35,c,32,a)].
% 0.76/1.04 36 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c3(B,C,A) | ap_contractE_c4(B,C,A) | B = comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)). [resolve(21,c,26,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | B = comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract). [resolve(36,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | B = comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)) | A = comb_app(ap_contractE_sk2q(B,C,A),C). [resolve(36,c,32,a)].
% 0.76/1.04 37 member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c3(B,A,C) | ap_contractE_c4(B,A,C) | member(ap_contractE_sk1p(B,A,C),comb). [resolve(27,c,22,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c4(B,A,C) | member(ap_contractE_sk1p(B,A,C),comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract). [resolve(37,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c4(B,A,C) | member(ap_contractE_sk1p(B,A,C),comb) | member(A,comb). [resolve(37,c,31,a)].
% 0.76/1.04 38 member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c3(B,A,C) | ap_contractE_c4(B,A,C) | member(ap_contractE_sk1q(B,A,C),comb). [resolve(27,c,23,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c4(B,A,C) | member(ap_contractE_sk1q(B,A,C),comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract). [resolve(38,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c4(B,A,C) | member(ap_contractE_sk1q(B,A,C),comb) | member(A,comb). [resolve(38,c,31,a)].
% 0.76/1.04 39 member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c3(B,A,C) | ap_contractE_c4(B,A,C) | member(A,comb). [resolve(27,c,24,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c4(B,A,C) | member(A,comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract). [resolve(39,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c4(B,A,C) | member(A,comb) | member(A,comb). [resolve(39,c,31,a)].
% 0.76/1.04 40 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c3(A,C,B) | ap_contractE_c4(A,C,B) | member(ap_contractE_sk1p(A,C,B),comb). [resolve(28,c,22,a)].
% 0.76/1.04 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | member(ap_contractE_sk1p(A,C,B),comb) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract). [resolve(40,c,30,a)].
% 0.76/1.04 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | member(ap_contractE_sk1p(A,C,B),comb) | B = comb_app(ap_contractE_sk2q(A,C,B),C). [resolve(40,c,32,a)].
% 0.76/1.04 41 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c3(A,C,B) | ap_contractE_c4(A,C,B) | member(ap_contractE_sk1q(A,C,B),comb). [resolve(28,c,23,a)].
% 0.76/1.04 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | member(ap_contractE_sk1q(A,C,B),comb) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract). [resolve(41,c,30,a)].
% 0.76/1.04 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | member(ap_contractE_sk1q(A,C,B),comb) | B = comb_app(ap_contractE_sk2q(A,C,B),C). [resolve(41,c,32,a)].
% 0.76/1.04 42 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c3(A,C,B) | ap_contractE_c4(A,C,B) | B = comb_app(comb_app(ap_contractE_sk1p(A,C,B),C),comb_app(ap_contractE_sk1q(A,C,B),C)). [resolve(28,c,25,a)].
% 0.76/1.04 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | B = comb_app(comb_app(ap_contractE_sk1p(A,C,B),C),comb_app(ap_contractE_sk1q(A,C,B),C)) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract). [resolve(42,c,30,a)].
% 0.76/1.04 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | B = comb_app(comb_app(ap_contractE_sk1p(A,C,B),C),comb_app(ap_contractE_sk1q(A,C,B),C)) | B = comb_app(ap_contractE_sk2q(A,C,B),C). [resolve(42,c,32,a)].
% 0.76/1.04 43 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c3(A,C,B) | ap_contractE_c4(A,C,B) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)). [resolve(28,c,26,a)].
% 0.76/1.04 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract). [resolve(43,c,30,a)].
% 0.76/1.04 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)) | B = comb_app(ap_contractE_sk2q(A,C,B),C). [resolve(43,c,32,a)].
% 0.76/1.04 44 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1p(B,C,A),comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract). [resolve(29,c,30,a)].
% 0.76/1.04 45 -ap_contractE_c4(A,B,C) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract) # label(ap_contractE13) # label(axiom). [assumption].
% 0.76/1.04 46 -ap_contractE_c4(A,B,C) | member(A,comb) # label(ap_contractE14) # label(axiom). [assumption].
% 0.76/1.04 47 -ap_contractE_c4(A,B,C) | C = comb_app(A,ap_contractE_sk3q(A,B,C)) # label(ap_contractE15) # label(axiom). [assumption].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1p(B,C,A),comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | member(pair(C,ap_contractE_sk3q(B,C,A)),contract). [resolve(44,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1p(B,C,A),comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | member(B,comb). [resolve(44,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1p(B,C,A),comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | A = comb_app(B,ap_contractE_sk3q(B,C,A)). [resolve(44,c,47,a)].
% 0.76/1.04 48 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1p(B,C,A),comb) | member(C,comb). [resolve(29,c,31,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1p(B,C,A),comb) | member(C,comb) | member(pair(C,ap_contractE_sk3q(B,C,A)),contract). [resolve(48,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1p(B,C,A),comb) | member(C,comb) | member(B,comb). [resolve(48,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1p(B,C,A),comb) | member(C,comb) | A = comb_app(B,ap_contractE_sk3q(B,C,A)). [resolve(48,c,47,a)].
% 0.76/1.04 49 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1p(B,C,A),comb) | A = comb_app(ap_contractE_sk2q(B,C,A),C). [resolve(29,c,32,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1p(B,C,A),comb) | A = comb_app(ap_contractE_sk2q(B,C,A),C) | member(pair(C,ap_contractE_sk3q(B,C,A)),contract). [resolve(49,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1p(B,C,A),comb) | A = comb_app(ap_contractE_sk2q(B,C,A),C) | member(B,comb). [resolve(49,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1p(B,C,A),comb) | A = comb_app(ap_contractE_sk2q(B,C,A),C) | A = comb_app(B,ap_contractE_sk3q(B,C,A)). [resolve(49,c,47,a)].
% 0.76/1.04 50 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1q(B,C,A),comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract). [resolve(33,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1q(B,C,A),comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | member(pair(C,ap_contractE_sk3q(B,C,A)),contract). [resolve(50,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1q(B,C,A),comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | member(B,comb). [resolve(50,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1q(B,C,A),comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | A = comb_app(B,ap_contractE_sk3q(B,C,A)). [resolve(50,c,47,a)].
% 0.76/1.04 51 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1q(B,C,A),comb) | member(C,comb). [resolve(33,c,31,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1q(B,C,A),comb) | member(C,comb) | member(pair(C,ap_contractE_sk3q(B,C,A)),contract). [resolve(51,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1q(B,C,A),comb) | member(C,comb) | member(B,comb). [resolve(51,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1q(B,C,A),comb) | member(C,comb) | A = comb_app(B,ap_contractE_sk3q(B,C,A)). [resolve(51,c,47,a)].
% 0.76/1.04 52 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(ap_contractE_sk1q(B,C,A),comb) | A = comb_app(ap_contractE_sk2q(B,C,A),C). [resolve(33,c,32,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1q(B,C,A),comb) | A = comb_app(ap_contractE_sk2q(B,C,A),C) | member(pair(C,ap_contractE_sk3q(B,C,A)),contract). [resolve(52,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1q(B,C,A),comb) | A = comb_app(ap_contractE_sk2q(B,C,A),C) | member(B,comb). [resolve(52,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(ap_contractE_sk1q(B,C,A),comb) | A = comb_app(ap_contractE_sk2q(B,C,A),C) | A = comb_app(B,ap_contractE_sk3q(B,C,A)). [resolve(52,c,47,a)].
% 0.76/1.04 53 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(C,comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract). [resolve(34,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(C,comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | member(pair(C,ap_contractE_sk3q(B,C,A)),contract). [resolve(53,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(C,comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | member(B,comb). [resolve(53,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(C,comb) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | A = comb_app(B,ap_contractE_sk3q(B,C,A)). [resolve(53,c,47,a)].
% 0.76/1.04 54 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | member(C,comb) | member(C,comb). [resolve(34,c,31,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(C,comb) | member(C,comb) | member(pair(C,ap_contractE_sk3q(B,C,A)),contract). [resolve(54,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(C,comb) | member(C,comb) | member(B,comb). [resolve(54,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | member(C,comb) | member(C,comb) | A = comb_app(B,ap_contractE_sk3q(B,C,A)). [resolve(54,c,47,a)].
% 0.76/1.04 55 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | A = comb_app(comb_app(ap_contractE_sk1p(B,C,A),C),comb_app(ap_contractE_sk1q(B,C,A),C)) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract). [resolve(35,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | A = comb_app(comb_app(ap_contractE_sk1p(B,C,A),C),comb_app(ap_contractE_sk1q(B,C,A),C)) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | member(pair(C,ap_contractE_sk3q(B,C,A)),contract). [resolve(55,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | A = comb_app(comb_app(ap_contractE_sk1p(B,C,A),C),comb_app(ap_contractE_sk1q(B,C,A),C)) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | member(B,comb). [resolve(55,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | A = comb_app(comb_app(ap_contractE_sk1p(B,C,A),C),comb_app(ap_contractE_sk1q(B,C,A),C)) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | A = comb_app(B,ap_contractE_sk3q(B,C,A)). [resolve(55,c,47,a)].
% 0.76/1.04 56 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | A = comb_app(comb_app(ap_contractE_sk1p(B,C,A),C),comb_app(ap_contractE_sk1q(B,C,A),C)) | A = comb_app(ap_contractE_sk2q(B,C,A),C). [resolve(35,c,32,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | A = comb_app(comb_app(ap_contractE_sk1p(B,C,A),C),comb_app(ap_contractE_sk1q(B,C,A),C)) | A = comb_app(ap_contractE_sk2q(B,C,A),C) | member(pair(C,ap_contractE_sk3q(B,C,A)),contract). [resolve(56,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | A = comb_app(comb_app(ap_contractE_sk1p(B,C,A),C),comb_app(ap_contractE_sk1q(B,C,A),C)) | A = comb_app(ap_contractE_sk2q(B,C,A),C) | member(B,comb). [resolve(56,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | A = comb_app(comb_app(ap_contractE_sk1p(B,C,A),C),comb_app(ap_contractE_sk1q(B,C,A),C)) | A = comb_app(ap_contractE_sk2q(B,C,A),C) | A = comb_app(B,ap_contractE_sk3q(B,C,A)). [resolve(56,c,47,a)].
% 0.76/1.04 57 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | B = comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract). [resolve(36,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | B = comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | member(pair(C,ap_contractE_sk3q(B,C,A)),contract). [resolve(57,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | B = comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | member(B,comb). [resolve(57,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | B = comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)) | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | A = comb_app(B,ap_contractE_sk3q(B,C,A)). [resolve(57,c,47,a)].
% 0.76/1.04 58 member(A,comb) | -member(pair(comb_app(B,C),A),contract) | ap_contractE_c4(B,C,A) | B = comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)) | A = comb_app(ap_contractE_sk2q(B,C,A),C). [resolve(36,c,32,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | B = comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)) | A = comb_app(ap_contractE_sk2q(B,C,A),C) | member(pair(C,ap_contractE_sk3q(B,C,A)),contract). [resolve(58,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | B = comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)) | A = comb_app(ap_contractE_sk2q(B,C,A),C) | member(B,comb). [resolve(58,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,C),A),contract) | B = comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)) | A = comb_app(ap_contractE_sk2q(B,C,A),C) | A = comb_app(B,ap_contractE_sk3q(B,C,A)). [resolve(58,c,47,a)].
% 0.76/1.04 59 member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c4(B,A,C) | member(ap_contractE_sk1p(B,A,C),comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract). [resolve(37,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(ap_contractE_sk1p(B,A,C),comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract) | member(pair(A,ap_contractE_sk3q(B,A,C)),contract). [resolve(59,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(ap_contractE_sk1p(B,A,C),comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract) | member(B,comb). [resolve(59,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(ap_contractE_sk1p(B,A,C),comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract) | C = comb_app(B,ap_contractE_sk3q(B,A,C)). [resolve(59,c,47,a)].
% 0.76/1.04 60 member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c4(B,A,C) | member(ap_contractE_sk1p(B,A,C),comb) | member(A,comb). [resolve(37,c,31,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(ap_contractE_sk1p(B,A,C),comb) | member(A,comb) | member(pair(A,ap_contractE_sk3q(B,A,C)),contract). [resolve(60,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(ap_contractE_sk1p(B,A,C),comb) | member(A,comb) | member(B,comb). [resolve(60,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(ap_contractE_sk1p(B,A,C),comb) | member(A,comb) | C = comb_app(B,ap_contractE_sk3q(B,A,C)). [resolve(60,c,47,a)].
% 0.76/1.04 61 member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c4(B,A,C) | member(ap_contractE_sk1q(B,A,C),comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract). [resolve(38,c,30,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(ap_contractE_sk1q(B,A,C),comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract) | member(pair(A,ap_contractE_sk3q(B,A,C)),contract). [resolve(61,c,45,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(ap_contractE_sk1q(B,A,C),comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract) | member(B,comb). [resolve(61,c,46,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(ap_contractE_sk1q(B,A,C),comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract) | C = comb_app(B,ap_contractE_sk3q(B,A,C)). [resolve(61,c,47,a)].
% 0.76/1.04 62 member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c4(B,A,C) | member(ap_contractE_sk1q(B,A,C),comb) | member(A,comb). [resolve(38,c,31,a)].
% 0.76/1.04 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(ap_contractE_sk1q(B,A,C),comb) | member(A,comb) | member(pair(A,ap_contractE_sk3q(B,A,C)),contract). [resolve(62,c,45,a)].
% 0.76/1.05 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(ap_contractE_sk1q(B,A,C),comb) | member(A,comb) | member(B,comb). [resolve(62,c,46,a)].
% 0.76/1.05 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(ap_contractE_sk1q(B,A,C),comb) | member(A,comb) | C = comb_app(B,ap_contractE_sk3q(B,A,C)). [resolve(62,c,47,a)].
% 0.76/1.05 63 member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c4(B,A,C) | member(A,comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract). [resolve(39,c,30,a)].
% 0.76/1.05 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(A,comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract) | member(pair(A,ap_contractE_sk3q(B,A,C)),contract). [resolve(63,c,45,a)].
% 0.76/1.05 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(A,comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract) | member(B,comb). [resolve(63,c,46,a)].
% 0.76/1.05 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(A,comb) | member(pair(B,ap_contractE_sk2q(B,A,C)),contract) | C = comb_app(B,ap_contractE_sk3q(B,A,C)). [resolve(63,c,47,a)].
% 0.76/1.05 64 member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c4(B,A,C) | member(A,comb) | member(A,comb). [resolve(39,c,31,a)].
% 0.76/1.05 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(A,comb) | member(A,comb) | member(pair(A,ap_contractE_sk3q(B,A,C)),contract). [resolve(64,c,45,a)].
% 0.76/1.05 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(A,comb) | member(A,comb) | member(B,comb). [resolve(64,c,46,a)].
% 0.76/1.05 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(A,comb) | member(A,comb) | C = comb_app(B,ap_contractE_sk3q(B,A,C)). [resolve(64,c,47,a)].
% 0.76/1.05 65 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | member(ap_contractE_sk1p(A,C,B),comb) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract). [resolve(40,c,30,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | member(ap_contractE_sk1p(A,C,B),comb) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | member(pair(C,ap_contractE_sk3q(A,C,B)),contract). [resolve(65,c,45,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | member(ap_contractE_sk1p(A,C,B),comb) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | member(A,comb). [resolve(65,c,46,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | member(ap_contractE_sk1p(A,C,B),comb) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | B = comb_app(A,ap_contractE_sk3q(A,C,B)). [resolve(65,c,47,a)].
% 0.76/1.05 66 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | member(ap_contractE_sk1p(A,C,B),comb) | B = comb_app(ap_contractE_sk2q(A,C,B),C). [resolve(40,c,32,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | member(ap_contractE_sk1p(A,C,B),comb) | B = comb_app(ap_contractE_sk2q(A,C,B),C) | member(pair(C,ap_contractE_sk3q(A,C,B)),contract). [resolve(66,c,45,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | member(ap_contractE_sk1p(A,C,B),comb) | B = comb_app(ap_contractE_sk2q(A,C,B),C) | member(A,comb). [resolve(66,c,46,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | member(ap_contractE_sk1p(A,C,B),comb) | B = comb_app(ap_contractE_sk2q(A,C,B),C) | B = comb_app(A,ap_contractE_sk3q(A,C,B)). [resolve(66,c,47,a)].
% 0.76/1.05 67 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | member(ap_contractE_sk1q(A,C,B),comb) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract). [resolve(41,c,30,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | member(ap_contractE_sk1q(A,C,B),comb) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | member(pair(C,ap_contractE_sk3q(A,C,B)),contract). [resolve(67,c,45,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | member(ap_contractE_sk1q(A,C,B),comb) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | member(A,comb). [resolve(67,c,46,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | member(ap_contractE_sk1q(A,C,B),comb) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | B = comb_app(A,ap_contractE_sk3q(A,C,B)). [resolve(67,c,47,a)].
% 0.76/1.05 68 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | member(ap_contractE_sk1q(A,C,B),comb) | B = comb_app(ap_contractE_sk2q(A,C,B),C). [resolve(41,c,32,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | member(ap_contractE_sk1q(A,C,B),comb) | B = comb_app(ap_contractE_sk2q(A,C,B),C) | member(pair(C,ap_contractE_sk3q(A,C,B)),contract). [resolve(68,c,45,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | member(ap_contractE_sk1q(A,C,B),comb) | B = comb_app(ap_contractE_sk2q(A,C,B),C) | member(A,comb). [resolve(68,c,46,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | member(ap_contractE_sk1q(A,C,B),comb) | B = comb_app(ap_contractE_sk2q(A,C,B),C) | B = comb_app(A,ap_contractE_sk3q(A,C,B)). [resolve(68,c,47,a)].
% 0.76/1.05 69 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | B = comb_app(comb_app(ap_contractE_sk1p(A,C,B),C),comb_app(ap_contractE_sk1q(A,C,B),C)) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract). [resolve(42,c,30,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | B = comb_app(comb_app(ap_contractE_sk1p(A,C,B),C),comb_app(ap_contractE_sk1q(A,C,B),C)) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | member(pair(C,ap_contractE_sk3q(A,C,B)),contract). [resolve(69,c,45,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | B = comb_app(comb_app(ap_contractE_sk1p(A,C,B),C),comb_app(ap_contractE_sk1q(A,C,B),C)) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | member(A,comb). [resolve(69,c,46,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | B = comb_app(comb_app(ap_contractE_sk1p(A,C,B),C),comb_app(ap_contractE_sk1q(A,C,B),C)) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | B = comb_app(A,ap_contractE_sk3q(A,C,B)). [resolve(69,c,47,a)].
% 0.76/1.05 70 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | B = comb_app(comb_app(ap_contractE_sk1p(A,C,B),C),comb_app(ap_contractE_sk1q(A,C,B),C)) | B = comb_app(ap_contractE_sk2q(A,C,B),C). [resolve(42,c,32,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | B = comb_app(comb_app(ap_contractE_sk1p(A,C,B),C),comb_app(ap_contractE_sk1q(A,C,B),C)) | B = comb_app(ap_contractE_sk2q(A,C,B),C) | member(pair(C,ap_contractE_sk3q(A,C,B)),contract). [resolve(70,c,45,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | B = comb_app(comb_app(ap_contractE_sk1p(A,C,B),C),comb_app(ap_contractE_sk1q(A,C,B),C)) | B = comb_app(ap_contractE_sk2q(A,C,B),C) | member(A,comb). [resolve(70,c,46,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | B = comb_app(comb_app(ap_contractE_sk1p(A,C,B),C),comb_app(ap_contractE_sk1q(A,C,B),C)) | B = comb_app(ap_contractE_sk2q(A,C,B),C) | B = comb_app(A,ap_contractE_sk3q(A,C,B)). [resolve(70,c,47,a)].
% 0.76/1.05 71 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract). [resolve(43,c,30,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | member(pair(C,ap_contractE_sk3q(A,C,B)),contract). [resolve(71,c,45,a)].
% 0.76/1.05 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | member(A,comb). [resolve(71,c,46,a)].
% 1.58/1.87 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | B = comb_app(A,ap_contractE_sk3q(A,C,B)). [resolve(71,c,47,a)].
% 1.58/1.87 72 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)) | B = comb_app(ap_contractE_sk2q(A,C,B),C). [resolve(43,c,32,a)].
% 1.58/1.87 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)) | B = comb_app(ap_contractE_sk2q(A,C,B),C) | member(pair(C,ap_contractE_sk3q(A,C,B)),contract). [resolve(72,c,45,a)].
% 1.58/1.87 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)) | B = comb_app(ap_contractE_sk2q(A,C,B),C) | member(A,comb). [resolve(72,c,46,a)].
% 1.58/1.87 Derived: A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)) | B = comb_app(ap_contractE_sk2q(A,C,B),C) | B = comb_app(A,ap_contractE_sk3q(A,C,B)). [resolve(72,c,47,a)].
% 1.58/1.87
% 1.58/1.87 ============================== end predicate elimination =============
% 1.58/1.87
% 1.58/1.87 Auto_denials: (non-Horn, no changes).
% 1.58/1.87
% 1.58/1.87 Term ordering decisions:
% 1.58/1.87 Function symbol KB weights: comb=1. contract=1. combK=1. combS=1. eptset=1. nat=1. p=1. r=1. pair=1. comb_app=1. cons=1. qPair=1. disjsum=1. int=1. comp=1. qsum=1. un=1. idE_sk1=1. image=1. vimage=1. converseE_sk1=1. converseE_sk2=1. diff=1. interI_sk1=1. powI_sk1=1. qconverseE_sk1=1. qconverseE_sk2=1. subsetI_sk1=1. unionE_sk1=1. domainE_sk1=1. fieldE_sk1=1. fieldE_sk2=1. rangeE_sk1=1. inl=1. inr=1. succ=1. union=1. inter=1. converse=1. fin=1. qInl=1. qInr=1. field=1. memrel=1. pow=1. qconverse=1. card_Union_sk1=1. id=1. order_Inter_sk1=1. order_Union_sk1=1. domain=1. range=1. rtrancl=1. ap_contractE_sk2q=1. ap_contractE_sk3q=1. ap_contractE_sk1p=1. ap_contractE_sk1q=1. cons_subsetE_sk1=1. qsumE_sk1=1. qsumE_sk2=1. sumE_sk1=1. sumE_sk2=1. compE_sk1=1. compE_sk2=1. compE_sk3=1. cons_subsetI_sk1=1. imageE_sk1=1. subsetD_sk1=1. vimageE_sk1=1. rmult=1. radd=1.
% 1.58/1.87
% 1.58/1.87 ============================== end of process initial clauses ========
% 1.58/1.87
% 1.58/1.87 ============================== CLAUSES FOR SEARCH ====================
% 1.58/1.87
% 1.58/1.87 ============================== end of clauses for search =============
% 1.58/1.87
% 1.58/1.87 ============================== SEARCH ================================
% 1.58/1.87
% 1.58/1.87 % Starting search at 0.09 seconds.
% 1.58/1.87
% 1.58/1.87 Low Water (keep): wt=38.000, iters=3813
% 1.58/1.87
% 1.58/1.87 Low Water (keep): wt=28.000, iters=3652
% 1.58/1.87
% 1.58/1.87 Low Water (keep): wt=22.000, iters=3357
% 1.58/1.87
% 1.58/1.87 Low Water (keep): wt=21.000, iters=3353
% 1.58/1.87
% 1.58/1.87 Low Water (keep): wt=19.000, iters=3340
% 1.58/1.87
% 1.58/1.87 Low Water (keep): wt=18.000, iters=3520
% 1.58/1.87
% 1.58/1.87 Low Water (keep): wt=17.000, iters=3426
% 1.58/1.87
% 1.58/1.87 Low Water (keep): wt=16.000, iters=3908
% 1.58/1.87
% 1.58/1.87 Low Water (keep): wt=14.000, iters=3552
% 1.58/1.87
% 1.58/1.87 Low Water (keep): wt=13.000, iters=3403
% 1.58/1.87
% 1.58/1.87 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 93 (0.00 of 0.63 sec).
% 1.58/1.87
% 1.58/1.87 Low Water (keep): wt=12.000, iters=3856
% 1.58/1.87
% 1.58/1.87 Low Water (keep): wt=11.000, iters=3334
% 1.58/1.87
% 1.58/1.87 Low Water (keep): wt=10.000, iters=3334
% 1.58/1.87
% 1.58/1.87 ============================== PROOF =================================
% 1.58/1.87 % SZS status Unsatisfiable
% 1.58/1.87 % SZS output start Refutation
% 1.58/1.87
% 1.58/1.87 % Proof 1 at 0.85 (+ 0.02) seconds.
% 1.58/1.87 % Length of proof is 22.
% 1.58/1.87 % Level of proof is 7.
% 1.58/1.87 % Maximum clause weight is 41.000.
% 1.58/1.87 % Given clauses 864.
% 1.58/1.87
% 1.58/1.87 18 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c1(A,B,C) | ap_contractE_c2(A,B,C) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) # label(ap_contractE1) # label(axiom). [assumption].
% 1.58/1.87 20 -ap_contractE_c1(A,B,C) | A = comb_app(combK,C) # label(ap_contractE4) # label(axiom). [assumption].
% 1.58/1.87 26 -ap_contractE_c2(A,B,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) # label(ap_contractE9) # label(axiom). [assumption].
% 1.58/1.87 28 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c2(A,C,B) | ap_contractE_c3(A,C,B) | ap_contractE_c4(A,C,B). [resolve(20,a,18,b)].
% 1.58/1.87 30 -ap_contractE_c3(A,B,C) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) # label(ap_contractE10) # label(axiom). [assumption].
% 1.58/1.87 43 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c3(A,C,B) | ap_contractE_c4(A,C,B) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)). [resolve(28,c,26,a)].
% 1.58/1.87 45 -ap_contractE_c4(A,B,C) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract) # label(ap_contractE13) # label(axiom). [assumption].
% 1.58/1.87 47 -ap_contractE_c4(A,B,C) | C = comb_app(A,ap_contractE_sk3q(A,B,C)) # label(ap_contractE15) # label(axiom). [assumption].
% 1.58/1.87 71 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | ap_contractE_c4(A,C,B) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract). [resolve(43,c,30,a)].
% 1.58/1.87 215 combK != comb_app(A,B) # label(k_app) # label(axiom). [assumption].
% 1.58/1.87 216 comb_app(A,B) != combK. [copy(215),flip(a)].
% 1.58/1.87 230 -member(pair(combK,A),contract) # label(k_contractE) # label(axiom). [assumption].
% 1.58/1.87 232 member(pair(comb_app(combK,p),r),contract) # label(k1_contractD_h1) # label(hypothesis). [assumption].
% 1.58/1.87 233 r != comb_app(combK,A) | -member(pair(p,A),contract) # label(k1_contractD_c1) # label(negated_conjecture). [assumption].
% 1.58/1.87 234 comb_app(combK,A) != r | -member(pair(p,A),contract). [copy(233),flip(a)].
% 1.58/1.87 386 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | member(pair(C,ap_contractE_sk3q(A,C,B)),contract). [resolve(71,c,45,a)].
% 1.58/1.87 387 comb_app(combK,A) = B | -member(pair(comb_app(B,C),A),contract) | comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)) = B | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | member(pair(C,ap_contractE_sk3q(B,C,A)),contract). [copy(386),flip(a),flip(c)].
% 1.58/1.87 390 A = comb_app(combK,B) | -member(pair(comb_app(A,C),B),contract) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,C,B)),ap_contractE_sk1q(A,C,B)) | member(pair(A,ap_contractE_sk2q(A,C,B)),contract) | B = comb_app(A,ap_contractE_sk3q(A,C,B)). [resolve(71,c,47,a)].
% 1.58/1.87 391 comb_app(combK,A) = B | -member(pair(comb_app(B,C),A),contract) | comb_app(comb_app(combS,ap_contractE_sk1p(B,C,A)),ap_contractE_sk1q(B,C,A)) = B | member(pair(B,ap_contractE_sk2q(B,C,A)),contract) | comb_app(B,ap_contractE_sk3q(B,C,A)) = A. [copy(390),flip(a),flip(c),flip(e)].
% 1.58/1.87 900 member(pair(p,ap_contractE_sk3q(combK,p,r)),contract). [resolve(387,b,232,a),unit_del(a,216),unit_del(b,216),unit_del(c,230)].
% 1.58/1.87 901 comb_app(combK,ap_contractE_sk3q(combK,p,r)) = r. [resolve(391,b,232,a),unit_del(a,216),unit_del(b,216),unit_del(c,230)].
% 1.58/1.87 10875 $F. [resolve(900,a,234,b),rewrite([901(6)]),xx(a)].
% 1.58/1.87
% 1.58/1.87 % SZS output end Refutation
% 1.58/1.87 ============================== end of proof ==========================
% 1.58/1.87
% 1.58/1.87 ============================== STATISTICS ============================
% 1.58/1.87
% 1.58/1.87 Given=864. Generated=20194. Kept=10717. proofs=1.
% 1.58/1.87 Usable=852. Sos=9774. Demods=33. Limbo=5, Disabled=403. Hints=0.
% 1.58/1.87 Megabytes=16.95.
% 1.58/1.87 User_CPU=0.85, System_CPU=0.02, Wall_clock=1.
% 1.58/1.87
% 1.58/1.87 ============================== end of statistics =====================
% 1.58/1.87
% 1.58/1.87 ============================== end of search =========================
% 1.58/1.87
% 1.58/1.87 THEOREM PROVED
% 1.58/1.87 % SZS status Unsatisfiable
% 1.58/1.87
% 1.58/1.87 Exiting with 1 proof.
% 1.58/1.87
% 1.58/1.87 Process 2812 exit (max_proofs) Tue May 31 11:08:27 2022
% 1.58/1.87 Prover9 interrupted
%------------------------------------------------------------------------------