%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN083-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n006.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 : 300s
% DateTime : Tue May 5 05:36:06 PM UTC 2026
% Result : Unsatisfiable 0.26s 1.62s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN083-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n006.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:12:31 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.26/1.62 % Version : CSE_E---1.7
% 0.26/1.62 % Problem : theBenchmark.p
% 0.26/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.26/1.62 % SZS output start CNFRefutation
% 0.26/1.62 cnf(prove_this, negated_conjecture, (f(a,f(b,f(c,d)))!=f(f(f(a,b),c),d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_this)).
% 0.26/1.62 cnf(f_is_associative, axiom, (f(X1,f(X2,X3))=f(f(X1,X2),X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', f_is_associative)).
% 0.26/1.62 cnf(i_0_2, negated_conjecture, (f(a,f(b,f(c,d)))!=f(f(f(a,b),c),d)), prove_this, ['final']).
% 0.26/1.62 cnf(i_0_3, axiom, (f(X1,f(X2,X3))=f(f(X1,X2),X3)), f_is_associative, ['final']).
% 0.26/1.62 cnf(i_0_4, axiom, (X1=X1)).
% 0.26/1.62 cnf(i_0_5, axiom, (X1=X2|X2!=X1)).
% 0.26/1.62 cnf(i_0_6, axiom, (X1=X2|X1!=X3|X3!=X2)).
% 0.26/1.62 cnf(i_0_7, axiom, (X1!=X2|f(X1,X3)=f(X2,X3))).
% 0.26/1.62 cnf(i_0_8, axiom, (X1!=X2|f(X3,X1)=f(X3,X2))).
% 0.26/1.64 cnf(i_0_4, axiom, (X1=X1)).
% 0.26/1.64 cnf(i_0_5, axiom, (X1=X2|X2!=X1)).
% 0.26/1.64 cnf(i_0_6, axiom, (X1=X2|X1!=X3|X3!=X2)).
% 0.26/1.64 cnf(i_0_7, axiom, (X1!=X2|f(X1,X3)=f(X2,X3))).
% 0.26/1.64 cnf(i_0_8, axiom, (X1!=X2|f(X3,X1)=f(X3,X2))).
% 0.26/1.64 cnf(i_0_9, plain, (f(f(X1,X2),X3)=f(X1,f(X2,X3))), inference(scs_inference,[],[i_0_3,i_0_5])).
% 0.26/1.64 cnf(i_0_10, plain, (f(a,f(b,f(c,d)))!=f(f(a,b),f(c,d))), inference(scs_inference,[],[i_0_2,i_0_3,i_0_5,i_0_6])).
% 0.26/1.64 cnf(i_0_11, plain, (f(X1,f(X2,X3))=f(f(X1,X2),X3)), inference(rename_variables,[],[i_0_3])).
% 0.26/1.64 cnf(i_0_12,plain, ($false), inference(scs_inference,[],[i_0+10, i_0_3]), ['proof']).
% 0.26/1.64 % SZS output end CNFRefutation
% 0.26/1.64 % Total time : 1.273s
%------------------------------------------------------------------------------