TSTP Solution File: COL088-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL088-2 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 00:39:58 EDT 2022
% Result : Timeout 300.02s 300.30s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL088-2 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue May 31 06:01:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.01 ============================== Prover9 ===============================
% 0.43/1.01 Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.01 Process 581 was started by sandbox on n018.cluster.edu,
% 0.43/1.01 Tue May 31 06:01:13 2022
% 0.43/1.01 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_411_n018.cluster.edu".
% 0.43/1.01 ============================== end of head ===========================
% 0.43/1.01
% 0.43/1.01 ============================== INPUT =================================
% 0.43/1.01
% 0.43/1.01 % Reading from file /tmp/Prover9_411_n018.cluster.edu
% 0.43/1.01
% 0.43/1.01 set(prolog_style_variables).
% 0.43/1.01 set(auto2).
% 0.43/1.01 % set(auto2) -> set(auto).
% 0.43/1.01 % set(auto) -> set(auto_inference).
% 0.43/1.01 % set(auto) -> set(auto_setup).
% 0.43/1.01 % set(auto_setup) -> set(predicate_elim).
% 0.43/1.01 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/1.01 % set(auto) -> set(auto_limits).
% 0.43/1.01 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/1.01 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/1.01 % set(auto) -> set(auto_denials).
% 0.43/1.01 % set(auto) -> set(auto_process).
% 0.43/1.01 % set(auto2) -> assign(new_constants, 1).
% 0.43/1.01 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/1.01 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/1.01 % set(auto2) -> assign(max_hours, 1).
% 0.43/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/1.01 % set(auto2) -> assign(max_seconds, 0).
% 0.43/1.01 % set(auto2) -> assign(max_minutes, 5).
% 0.43/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/1.01 % set(auto2) -> set(sort_initial_sos).
% 0.43/1.01 % set(auto2) -> assign(sos_limit, -1).
% 0.43/1.01 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/1.01 % set(auto2) -> assign(max_megs, 400).
% 0.43/1.01 % set(auto2) -> assign(stats, some).
% 0.43/1.01 % set(auto2) -> clear(echo_input).
% 0.43/1.01 % set(auto2) -> set(quiet).
% 0.43/1.01 % set(auto2) -> clear(print_initial_clauses).
% 0.43/1.01 % set(auto2) -> clear(print_given).
% 0.43/1.01 assign(lrs_ticks,-1).
% 0.43/1.01 assign(sos_limit,10000).
% 0.43/1.01 assign(order,kbo).
% 0.43/1.01 set(lex_order_vars).
% 0.43/1.01 clear(print_given).
% 0.43/1.01
% 0.43/1.01 % formulas(sos). % not echoed (186 formulas)
% 0.43/1.01
% 0.43/1.01 ============================== end of input ==========================
% 0.43/1.01
% 0.43/1.01 % From the command line: assign(max_seconds, 300).
% 0.43/1.01
% 0.43/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/1.01
% 0.43/1.01 % Formulas that are not ordinary clauses:
% 0.43/1.01
% 0.43/1.01 ============================== end of process non-clausal formulas ===
% 0.43/1.01
% 0.43/1.01 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/1.01
% 0.43/1.01 ============================== PREDICATE ELIMINATION =================
% 0.43/1.01 1 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(pair(A,C),F) # label(clause52) # label(axiom). [assumption].
% 0.43/1.01 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].
% 0.43/1.01 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)].
% 0.43/1.01 3 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(A,E) # label(clause53) # label(axiom). [assumption].
% 0.43/1.01 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)].
% 0.43/1.01 4 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(C,E) # label(clause54) # label(axiom). [assumption].
% 0.43/1.01 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)].
% 0.43/1.01 5 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(B,V6) # label(clause55) # label(axiom). [assumption].
% 0.43/1.01 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)].
% 0.43/1.01 6 -rmultE_c1(A,B,C,D,E,F,V6,V7) | member(D,V6) # label(clause56) # label(axiom). [assumption].
% 0.43/1.01 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)].
% 0.43/1.01 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)].
% 0.43/1.01 8 -rmultE_c2(A,B,C,D,E,F,V6,V7) | member(pair(B,D),V7) # label(clause57) # label(axiom). [assumption].
% 0.43/1.01 9 -rmultE_c2(A,B,C,D,E,F,V6,V7) | member(C,E) # label(clause58) # label(axiom). [assumption].
% 0.43/1.01 10 -rmultE_c2(A,B,C,D,E,F,V6,V7) | A = C # label(clause59) # label(axiom). [assumption].
% 0.43/1.01 11 -rmultE_c2(A,B,C,D,E,F,V6,V7) | member(B,V6) # label(clause60) # label(axiom). [assumption].
% 0.74/1.02 12 -rmultE_c2(A,B,C,D,E,F,V6,V7) | member(D,V6) # label(clause61) # label(axiom). [assumption].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 Derived: member(A,B) | -member(pair(pair(A,C),pair(D,E)),rmult(B,F,V6,V7)) | A = D. [resolve(13,c,10,a)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 Derived: member(A,B) | -member(pair(pair(C,A),pair(D,E)),rmult(F,V6,B,V7)) | C = D. [resolve(15,c,10,a)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 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)].
% 0.74/1.02 Derived: member(A,B) | -member(pair(pair(C,D),pair(E,A)),rmult(F,V6,B,V7)) | C = E. [resolve(16,c,10,a)].
% 0.74/1.02 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)].
% 0.74/1.02 17 -ap_contractE_c1(A,B,C) | member(C,comb) # label(ap_contractE2) # label(axiom). [assumption].
% 0.74/1.02 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].
% 0.74/1.02 19 -ap_contractE_c1(A,B,C) | member(B,comb) # label(ap_contractE3) # label(axiom). [assumption].
% 0.74/1.02 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)].
% 0.74/1.02 20 -ap_contractE_c1(A,B,C) | A = comb_app(combK,C) # label(ap_contractE4) # label(axiom). [assumption].
% 0.74/1.02 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)].
% 0.74/1.02 21 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)].
% 0.74/1.02 22 -ap_contractE_c2(A,B,C) | member(ap_contractE_sk1p(A,B,C),comb) # label(ap_contractE5) # label(axiom). [assumption].
% 0.74/1.02 23 -ap_contractE_c2(A,B,C) | member(ap_contractE_sk1q(A,B,C),comb) # label(ap_contractE6) # label(axiom). [assumption].
% 0.74/1.02 24 -ap_contractE_c2(A,B,C) | member(B,comb) # label(ap_contractE7) # label(axiom). [assumption].
% 0.74/1.02 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].
% 0.74/1.02 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].
% 0.74/1.02 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(21,c,22,a)].
% 0.74/1.02 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(21,c,23,a)].
% 0.74/1.02 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(21,c,24,a)].
% 0.74/1.02 27 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)].
% 0.74/1.02 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(27,c,22,a)].
% 0.74/1.02 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(27,c,23,a)].
% 0.74/1.02 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(27,c,25,a)].
% 0.74/1.02 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(27,c,26,a)].
% 0.74/1.02 28 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(21,c,22,a)].
% 0.74/1.02 29 -ap_contractE_c3(A,B,C) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) # label(ap_contractE10) # label(axiom). [assumption].
% 0.74/1.02 30 -ap_contractE_c3(A,B,C) | member(B,comb) # label(ap_contractE11) # label(axiom). [assumption].
% 0.74/1.02 31 -ap_contractE_c3(A,B,C) | C = comb_app(ap_contractE_sk2q(A,B,C),B) # label(ap_contractE12) # label(axiom). [assumption].
% 0.74/1.02 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(28,c,29,a)].
% 0.74/1.02 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(28,c,30,a)].
% 0.74/1.02 32 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(21,c,23,a)].
% 0.74/1.02 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(32,c,29,a)].
% 0.74/1.02 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(32,c,30,a)].
% 0.74/1.02 33 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(21,c,24,a)].
% 0.74/1.02 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(33,c,29,a)].
% 0.74/1.02 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(33,c,30,a)].
% 0.74/1.02 34 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(27,c,22,a)].
% 0.74/1.02 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(34,c,29,a)].
% 0.74/1.03 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(34,c,31,a)].
% 0.74/1.03 35 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(27,c,23,a)].
% 0.74/1.03 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(35,c,29,a)].
% 0.74/1.03 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(35,c,31,a)].
% 0.74/1.03 36 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(27,c,25,a)].
% 0.74/1.03 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(36,c,29,a)].
% 0.74/1.03 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(36,c,31,a)].
% 0.74/1.03 37 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(27,c,26,a)].
% 0.74/1.03 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(37,c,29,a)].
% 0.74/1.03 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(37,c,31,a)].
% 0.74/1.03 38 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(28,c,29,a)].
% 0.74/1.03 39 -ap_contractE_c4(A,B,C) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract) # label(ap_contractE13) # label(axiom). [assumption].
% 0.74/1.03 40 -ap_contractE_c4(A,B,C) | member(A,comb) # label(ap_contractE14) # label(axiom). [assumption].
% 0.74/1.03 41 -ap_contractE_c4(A,B,C) | C = comb_app(A,ap_contractE_sk3q(A,B,C)) # label(ap_contractE15) # label(axiom). [assumption].
% 0.74/1.03 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(38,c,39,a)].
% 0.74/1.03 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(38,c,40,a)].
% 0.74/1.03 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(38,c,41,a)].
% 0.74/1.03 42 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(28,c,30,a)].
% 0.74/1.03 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(42,c,39,a)].
% 0.74/1.03 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(42,c,40,a)].
% 0.74/1.03 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(42,c,41,a)].
% 0.74/1.03 43 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(32,c,29,a)].
% 0.74/1.03 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(43,c,39,a)].
% 0.74/1.03 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(43,c,40,a)].
% 0.74/1.03 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(43,c,41,a)].
% 0.74/1.03 44 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(32,c,30,a)].
% 0.74/1.03 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(44,c,39,a)].
% 0.74/1.03 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(44,c,40,a)].
% 0.74/1.03 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(44,c,41,a)].
% 0.74/1.03 45 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(33,c,29,a)].
% 0.74/1.03 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(45,c,39,a)].
% 0.74/1.03 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(45,c,40,a)].
% 0.74/1.03 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(45,c,41,a)].
% 0.74/1.03 46 member(A,comb) | -member(pair(comb_app(B,A),C),contract) | ap_contractE_c4(B,A,C) | member(A,comb) | member(A,comb). [resolve(33,c,30,a)].
% 0.74/1.03 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(46,c,39,a)].
% 0.74/1.03 Derived: member(A,comb) | -member(pair(comb_app(B,A),C),contract) | member(A,comb) | member(A,comb) | member(B,comb). [resolve(46,c,40,a)].
% 0.74/1.03 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(46,c,41,a)].
% 0.74/1.03 47 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(34,c,29,a)].
% 0.74/1.03 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(47,c,39,a)].
% 0.74/1.03 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(47,c,40,a)].
% 0.74/1.03 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(47,c,41,a)].
% 0.74/1.03 48 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(34,c,31,a)].
% 0.74/1.03 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(48,c,39,a)].
% 0.74/1.03 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(48,c,40,a)].
% 0.74/1.03 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(48,c,41,a)].
% 0.74/1.03 49 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(35,c,29,a)].
% 0.74/1.03 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(49,c,39,a)].
% 0.74/1.03 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(49,c,40,a)].
% 0.74/1.03 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(49,c,41,a)].
% 0.74/1.03 50 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(35,c,31,a)].
% 0.74/1.03 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(50,c,39,a)].
% 0.74/1.03 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(50,c,40,a)].
% 0.74/1.03 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(50,c,41,a)].
% 0.74/1.03 51 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(36,c,29,a)].
% 0.74/1.03 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(51,c,39,a)].
% 0.74/1.03 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(51,c,40,a)].
% 0.74/1.03 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(51,c,41,a)].
% 0.74/1.03 52 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(36,c,31,a)].
% 0.74/1.03 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(52,c,39,a)].
% 0.74/1.07 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(52,c,40,a)].
% 0.74/1.07 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(52,c,41,a)].
% 0.74/1.07 53 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(37,c,29,a)].
% 0.74/1.07 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(53,c,39,a)].
% 0.74/1.07 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(53,c,40,a)].
% 0.74/1.07 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(53,c,41,a)].
% 0.74/1.07 54 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(37,c,31,a)].
% 0.74/1.07 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(54,c,39,a)].
% 0.74/1.07 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(54,c,40,a)].
% 0.74/1.07 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(54,c,41,a)].
% 0.74/1.07 55 trans(rtrancl(A)) # label(trans_rtrancl) # label(axiom). [assumption].
% 0.74/1.07 56 -trans(A) | -member(pair(B,C),A) | -member(pair(C,D),A) | member(pair(B,D),A) # label(transD) # label(axiom). [assumption].
% 0.74/1.07 Derived: -member(pair(A,B),rtrancl(C)) | -member(pair(B,D),rtrancl(C)) | member(pair(A,D),rtrancl(C)). [resolve(55,a,56,a)].
% 0.74/1.07
% 0.74/1.07 ============================== end predicate elimination =============
% 0.74/1.07
% 0.74/1.07 Auto_denials: (non-Horn, no changes).
% 0.74/1.07
% 0.74/1.07 Term ordering decisions:
% 0.74/1.07 Function symbol KB weights: comb=1. contract=1. combK=1. eptset=1. combS=1. nat=1. p=1. r=1. y=1. z=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. rtrancl=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. 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.
% 0.74/1.07
% 0.74/1.07 ============================== end of process initial clauses ========
% 0.74/1.07
% 0.74/1.07 ===========Cputime limit exceeded (core dumped)
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