TSTP Solution File: COL091-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL091-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 0.90s 1.20s
% Output : Refutation 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL091-1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 05:58:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/0.97 ============================== Prover9 ===============================
% 0.43/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.97 Process 25574 was started by sandbox2 on n017.cluster.edu,
% 0.43/0.97 Tue May 31 05:58:41 2022
% 0.43/0.97 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_25421_n017.cluster.edu".
% 0.43/0.97 ============================== end of head ===========================
% 0.43/0.97
% 0.43/0.97 ============================== INPUT =================================
% 0.43/0.97
% 0.43/0.97 % Reading from file /tmp/Prover9_25421_n017.cluster.edu
% 0.43/0.97
% 0.43/0.97 set(prolog_style_variables).
% 0.43/0.97 set(auto2).
% 0.43/0.97 % set(auto2) -> set(auto).
% 0.43/0.97 % set(auto) -> set(auto_inference).
% 0.43/0.97 % set(auto) -> set(auto_setup).
% 0.43/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.43/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.97 % set(auto) -> set(auto_limits).
% 0.43/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.97 % set(auto) -> set(auto_denials).
% 0.43/0.97 % set(auto) -> set(auto_process).
% 0.43/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.43/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.43/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.43/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.43/0.97 % set(auto2) -> assign(stats, some).
% 0.43/0.97 % set(auto2) -> clear(echo_input).
% 0.43/0.97 % set(auto2) -> set(quiet).
% 0.43/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.97 % set(auto2) -> clear(print_given).
% 0.43/0.97 assign(lrs_ticks,-1).
% 0.43/0.97 assign(sos_limit,10000).
% 0.43/0.97 assign(order,kbo).
% 0.43/0.97 set(lex_order_vars).
% 0.43/0.97 clear(print_given).
% 0.43/0.97
% 0.43/0.97 % formulas(sos). % not echoed (33 formulas)
% 0.43/0.97
% 0.43/0.97 ============================== end of input ==========================
% 0.43/0.97
% 0.43/0.97 % From the command line: assign(max_seconds, 300).
% 0.43/0.97
% 0.43/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.97
% 0.43/0.97 % Formulas that are not ordinary clauses:
% 0.43/0.97
% 0.43/0.97 ============================== end of process non-clausal formulas ===
% 0.43/0.97
% 0.43/0.97 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.97
% 0.43/0.97 ============================== PREDICATE ELIMINATION =================
% 0.43/0.97 1 -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].
% 0.43/0.97 2 -ap_contractE_c1(A,B,C) | member(C,comb) # label(ap_contractE2) # label(axiom). [assumption].
% 0.43/0.97 3 -ap_contractE_c1(A,B,C) | member(B,comb) # label(ap_contractE3) # label(axiom). [assumption].
% 0.43/0.97 4 -ap_contractE_c1(A,B,C) | A = comb_app(combK,C) # label(ap_contractE4) # label(axiom). [assumption].
% 0.43/0.97 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c2(A,B,C) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(C,comb). [resolve(1,b,2,a)].
% 0.43/0.97 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c2(A,B,C) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(B,comb). [resolve(1,b,3,a)].
% 0.43/0.97 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c2(A,B,C) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C). [resolve(1,b,4,a)].
% 0.43/0.97 5 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c2(A,B,C) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(C,comb). [resolve(1,b,2,a)].
% 0.43/0.97 6 -ap_contractE_c2(A,B,C) | member(B,comb) # label(ap_contractE7) # label(axiom). [assumption].
% 0.43/0.97 7 -ap_contractE_c2(A,B,C) | member(ap_contractE_sk1p(A,B,C),comb) # label(ap_contractE5) # label(axiom). [assumption].
% 0.43/0.97 8 -ap_contractE_c2(A,B,C) | member(ap_contractE_sk1q(A,B,C),comb) # label(ap_contractE6) # label(axiom). [assumption].
% 0.43/0.97 9 -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].
% 0.43/0.97 10 -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].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(C,comb) | member(B,comb). [resolve(5,b,6,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(C,comb) | member(ap_contractE_sk1p(A,B,C),comb). [resolve(5,b,7,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(C,comb) | member(ap_contractE_sk1q(A,B,C),comb). [resolve(5,b,8,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(C,comb) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)). [resolve(5,b,9,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(C,comb) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)). [resolve(5,b,10,a)].
% 0.43/0.98 11 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c2(A,B,C) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(B,comb). [resolve(1,b,3,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(B,comb) | member(B,comb). [resolve(11,b,6,a)].
% 0.43/0.98 12 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c2(A,B,C) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C). [resolve(1,b,4,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | member(ap_contractE_sk1p(A,B,C),comb). [resolve(12,b,7,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | member(ap_contractE_sk1q(A,B,C),comb). [resolve(12,b,8,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)). [resolve(12,b,9,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)). [resolve(12,b,10,a)].
% 0.43/0.98 13 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(C,comb) | member(B,comb). [resolve(5,b,6,a)].
% 0.43/0.98 14 -ap_contractE_c3(A,B,C) | member(B,comb) # label(ap_contractE11) # label(axiom). [assumption].
% 0.43/0.98 15 -ap_contractE_c3(A,B,C) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) # label(ap_contractE10) # label(axiom). [assumption].
% 0.43/0.98 16 -ap_contractE_c3(A,B,C) | C = comb_app(ap_contractE_sk2q(A,B,C),B) # label(ap_contractE12) # label(axiom). [assumption].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | member(B,comb) | member(B,comb). [resolve(13,b,14,a)].
% 0.43/0.98 17 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(C,comb) | member(ap_contractE_sk1p(A,B,C),comb). [resolve(5,b,7,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | member(ap_contractE_sk1p(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(17,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | member(ap_contractE_sk1p(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(17,b,16,a)].
% 0.43/0.98 18 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(C,comb) | member(ap_contractE_sk1q(A,B,C),comb). [resolve(5,b,8,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | member(ap_contractE_sk1q(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(18,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | member(ap_contractE_sk1q(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(18,b,16,a)].
% 0.43/0.98 19 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(C,comb) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)). [resolve(5,b,9,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(19,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(19,b,16,a)].
% 0.43/0.98 20 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(C,comb) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)). [resolve(5,b,10,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(20,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(20,b,16,a)].
% 0.43/0.98 21 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | member(B,comb) | member(B,comb). [resolve(11,b,6,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(B,comb) | member(B,comb) | member(B,comb). [resolve(21,b,14,a)].
% 0.43/0.98 22 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | member(ap_contractE_sk1p(A,B,C),comb). [resolve(12,b,7,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | member(ap_contractE_sk1p(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(22,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | member(ap_contractE_sk1p(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(22,b,16,a)].
% 0.43/0.98 23 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | member(ap_contractE_sk1q(A,B,C),comb). [resolve(12,b,8,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | member(ap_contractE_sk1q(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(23,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | member(ap_contractE_sk1q(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(23,b,16,a)].
% 0.43/0.98 24 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)). [resolve(12,b,9,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(24,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(24,b,16,a)].
% 0.43/0.98 25 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)). [resolve(12,b,10,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(25,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(25,b,16,a)].
% 0.43/0.98 26 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | member(B,comb) | member(B,comb). [resolve(13,b,14,a)].
% 0.43/0.98 27 -ap_contractE_c4(A,B,C) | member(A,comb) # label(ap_contractE14) # label(axiom). [assumption].
% 0.43/0.98 28 -ap_contractE_c4(A,B,C) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract) # label(ap_contractE13) # label(axiom). [assumption].
% 0.43/0.98 29 -ap_contractE_c4(A,B,C) | C = comb_app(A,ap_contractE_sk3q(A,B,C)) # label(ap_contractE15) # label(axiom). [assumption].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(B,comb) | member(B,comb) | member(A,comb). [resolve(26,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(B,comb) | member(B,comb) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(26,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(B,comb) | member(B,comb) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(26,b,29,a)].
% 0.43/0.98 30 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | member(ap_contractE_sk1p(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(17,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(ap_contractE_sk1p(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(A,comb). [resolve(30,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(ap_contractE_sk1p(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(30,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(ap_contractE_sk1p(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(30,b,29,a)].
% 0.43/0.98 31 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | member(ap_contractE_sk1p(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(17,b,16,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(ap_contractE_sk1p(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(A,comb). [resolve(31,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(ap_contractE_sk1p(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(31,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(ap_contractE_sk1p(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(31,b,29,a)].
% 0.43/0.98 32 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | member(ap_contractE_sk1q(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(18,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(ap_contractE_sk1q(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(A,comb). [resolve(32,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(ap_contractE_sk1q(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(32,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(ap_contractE_sk1q(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(32,b,29,a)].
% 0.43/0.98 33 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | member(ap_contractE_sk1q(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(18,b,16,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(ap_contractE_sk1q(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(A,comb). [resolve(33,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(ap_contractE_sk1q(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(33,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | member(ap_contractE_sk1q(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(33,b,29,a)].
% 0.43/0.98 34 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(19,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(A,comb). [resolve(34,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(34,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(34,b,29,a)].
% 0.43/0.98 35 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(19,b,16,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(A,comb). [resolve(35,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(35,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(35,b,29,a)].
% 0.43/0.98 36 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(20,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(A,comb). [resolve(36,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(36,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(36,b,29,a)].
% 0.43/0.98 37 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(C,comb) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(20,b,16,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(A,comb). [resolve(37,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(37,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(C,comb) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(37,b,29,a)].
% 0.43/0.98 38 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | member(B,comb) | member(B,comb) | member(B,comb). [resolve(21,b,14,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(B,comb) | member(B,comb) | member(B,comb) | member(A,comb). [resolve(38,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(B,comb) | member(B,comb) | member(B,comb) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(38,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | member(B,comb) | member(B,comb) | member(B,comb) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(38,b,29,a)].
% 0.43/0.98 39 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | member(ap_contractE_sk1p(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(22,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | member(ap_contractE_sk1p(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(A,comb). [resolve(39,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | member(ap_contractE_sk1p(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(39,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | member(ap_contractE_sk1p(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(39,b,29,a)].
% 0.43/0.98 40 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | member(ap_contractE_sk1p(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(22,b,16,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | member(ap_contractE_sk1p(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(A,comb). [resolve(40,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | member(ap_contractE_sk1p(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(40,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | member(ap_contractE_sk1p(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(40,b,29,a)].
% 0.43/0.98 41 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | member(ap_contractE_sk1q(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(23,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | member(ap_contractE_sk1q(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(A,comb). [resolve(41,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | member(ap_contractE_sk1q(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(41,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | member(ap_contractE_sk1q(A,B,C),comb) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(41,b,29,a)].
% 0.43/0.98 42 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | member(ap_contractE_sk1q(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(23,b,16,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | member(ap_contractE_sk1q(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(A,comb). [resolve(42,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | member(ap_contractE_sk1q(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(42,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | member(ap_contractE_sk1q(A,B,C),comb) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(42,b,29,a)].
% 0.43/0.98 43 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(24,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(A,comb). [resolve(43,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(43,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(43,b,29,a)].
% 0.43/0.98 44 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(24,b,16,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(A,comb). [resolve(44,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(44,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(44,b,29,a)].
% 0.43/0.98 45 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(25,b,15,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(A,comb). [resolve(45,b,27,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(45,b,28,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(45,b,29,a)].
% 0.43/0.98 46 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | C = comb_app(ap_contractE_sk2q(A,B,C),B). [resolve(25,b,16,a)].
% 0.43/0.98 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(A,comb). [resolve(46,b,27,a)].
% 0.90/1.20 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(46,b,28,a)].
% 0.90/1.20 Derived: -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | C = comb_app(comb_app(ap_contractE_sk1p(A,B,C),B),comb_app(ap_contractE_sk1q(A,B,C),B)) | C = comb_app(ap_contractE_sk2q(A,B,C),B) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(46,b,29,a)].
% 0.90/1.20
% 0.90/1.20 ============================== end predicate elimination =============
% 0.90/1.20
% 0.90/1.20 Auto_denials: (non-Horn, no changes).
% 0.90/1.20
% 0.90/1.20 Term ordering decisions:
% 0.90/1.20
% 0.90/1.20 % Assigning unary symbol rtrancl kb_weight 0 and highest precedence (15).
% 0.90/1.20 Function symbol KB weights: contract=1. comb=1. combK=1. combS=1. p=1. r=1. comb_app=1. pair=1. ap_contractE_sk2q=1. ap_contractE_sk1p=1. ap_contractE_sk1q=1. ap_contractE_sk3q=1. rtrancl=0.
% 0.90/1.20
% 0.90/1.20 ============================== end of process initial clauses ========
% 0.90/1.20
% 0.90/1.20 ============================== CLAUSES FOR SEARCH ====================
% 0.90/1.20
% 0.90/1.20 ============================== end of clauses for search =============
% 0.90/1.20
% 0.90/1.20 ============================== SEARCH ================================
% 0.90/1.20
% 0.90/1.20 % Starting search at 0.03 seconds.
% 0.90/1.20
% 0.90/1.20 ============================== PROOF =================================
% 0.90/1.20 % SZS status Unsatisfiable
% 0.90/1.20 % SZS output start Refutation
% 0.90/1.20
% 0.90/1.20 % Proof 1 at 0.22 (+ 0.01) seconds.
% 0.90/1.20 % Length of proof is 22.
% 0.90/1.20 % Level of proof is 7.
% 0.90/1.20 % Maximum clause weight is 41.000.
% 0.90/1.20 % Given clauses 139.
% 0.90/1.20
% 0.90/1.20 1 -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].
% 0.90/1.20 4 -ap_contractE_c1(A,B,C) | A = comb_app(combK,C) # label(ap_contractE4) # label(axiom). [assumption].
% 0.90/1.20 9 -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].
% 0.90/1.20 12 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c2(A,B,C) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C). [resolve(1,b,4,a)].
% 0.90/1.20 15 -ap_contractE_c3(A,B,C) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) # label(ap_contractE10) # label(axiom). [assumption].
% 0.90/1.20 24 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c3(A,B,C) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)). [resolve(12,b,9,a)].
% 0.90/1.20 28 -ap_contractE_c4(A,B,C) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract) # label(ap_contractE13) # label(axiom). [assumption].
% 0.90/1.20 29 -ap_contractE_c4(A,B,C) | C = comb_app(A,ap_contractE_sk3q(A,B,C)) # label(ap_contractE15) # label(axiom). [assumption].
% 0.90/1.20 43 -member(pair(comb_app(A,B),C),contract) | ap_contractE_c4(A,B,C) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract). [resolve(24,b,15,a)].
% 0.90/1.20 49 member(pair(comb_app(combK,p),r),contract) # label(k1_contractD_h1) # label(hypothesis). [assumption].
% 0.90/1.20 52 combK != comb_app(A,B) # label(k_app) # label(axiom). [assumption].
% 0.90/1.20 53 comb_app(A,B) != combK. [copy(52),flip(a)].
% 0.90/1.20 56 -member(pair(combK,A),contract) # label(k_contractE) # label(axiom). [assumption].
% 0.90/1.20 58 r != comb_app(combK,A) | -member(pair(p,A),contract) # label(k1_contractD_c1) # label(negated_conjecture). [assumption].
% 0.90/1.20 59 comb_app(combK,A) != r | -member(pair(p,A),contract). [copy(58),flip(a)].
% 0.90/1.20 151 -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [resolve(43,b,28,a)].
% 0.90/1.20 152 -member(pair(comb_app(A,B),C),contract) | comb_app(combK,C) = A | comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) = A | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | member(pair(B,ap_contractE_sk3q(A,B,C)),contract). [copy(151),flip(b),flip(c)].
% 0.90/1.20 153 -member(pair(comb_app(A,B),C),contract) | A = comb_app(combK,C) | A = comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | C = comb_app(A,ap_contractE_sk3q(A,B,C)). [resolve(43,b,29,a)].
% 0.90/1.20 154 -member(pair(comb_app(A,B),C),contract) | comb_app(combK,C) = A | comb_app(comb_app(combS,ap_contractE_sk1p(A,B,C)),ap_contractE_sk1q(A,B,C)) = A | member(pair(A,ap_contractE_sk2q(A,B,C)),contract) | comb_app(A,ap_contractE_sk3q(A,B,C)) = C. [copy(153),flip(b),flip(c),flip(e)].
% 0.90/1.20 231 member(pair(p,ap_contractE_sk3q(combK,p,r)),contract). [resolve(152,a,49,a),unit_del(a,53),unit_del(b,53),unit_del(c,56)].
% 0.90/1.20 236 comb_app(combK,ap_contractE_sk3q(combK,p,r)) = r. [resolve(154,a,49,a),unit_del(a,53),unit_del(b,53),unit_del(c,56)].
% 0.90/1.20 1030 $F. [resolve(231,a,59,b),rewrite([236(6)]),xx(a)].
% 0.90/1.20
% 0.90/1.20 % SZS output end Refutation
% 0.90/1.20 ============================== end of proof ==========================
% 0.90/1.20
% 0.90/1.20 ============================== STATISTICS ============================
% 0.90/1.20
% 0.90/1.20 Given=139. Generated=3615. Kept=929. proofs=1.
% 0.90/1.20 Usable=139. Sos=674. Demods=1. Limbo=0, Disabled=234. Hints=0.
% 0.90/1.20 Megabytes=1.05.
% 0.90/1.20 User_CPU=0.22, System_CPU=0.01, Wall_clock=0.
% 0.90/1.20
% 0.90/1.20 ============================== end of statistics =====================
% 0.90/1.20
% 0.90/1.20 ============================== end of search =========================
% 0.90/1.20
% 0.90/1.20 THEOREM PROVED
% 0.90/1.20 % SZS status Unsatisfiable
% 0.90/1.20
% 0.90/1.20 Exiting with 1 proof.
% 0.90/1.20
% 0.90/1.20 Process 25574 exit (max_proofs) Tue May 31 05:58:41 2022
% 0.90/1.20 Prover9 interrupted
%------------------------------------------------------------------------------