%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN083+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n016.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 : Theorem 0.24s 1.61s
% Output : CNFRefutation 0.24s
% 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 v2.0.0.
% 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 : n016.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 08:13:21 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.24/1.61 % Version : CSE_E---1.7
% 0.24/1.61 % Problem : theBenchmark.p
% 0.24/1.61 % SZS status Theorem for theBenchmark.p
% 0.24/1.61 % SZS output start CNFRefutation
% 0.24/1.61 fof(pel61, conjecture, ![X1, X2, X3, X4]:f(X1,f(X2,f(X3,X4)))=f(f(f(X1,X2),X3),X4), file('/export/starexec/sandbox/benchmark/theBenchmark.p', pel61)).
% 0.24/1.61 fof(p61_1, axiom, ![X1, X2, X3]:f(X1,f(X2,X3))=f(f(X1,X2),X3), file('/export/starexec/sandbox/benchmark/theBenchmark.p', p61_1)).
% 0.24/1.61 fof(i_0_2, negated_conjecture, ~(![X1, X2, X3, X4]:f(X1,f(X2,f(X3,X4)))=f(f(f(X1,X2),X3),X4)), inference(assume_negation,[status(cth)],[pel61])).
% 0.24/1.61 fof(i_0_3, negated_conjecture, f(esk1_0,f(esk2_0,f(esk3_0,esk4_0)))!=f(f(f(esk1_0,esk2_0),esk3_0),esk4_0), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_2])])])).
% 0.24/1.61 fof(i_0_4, plain, ![X12, X13, X14]:f(X12,f(X13,X14))=f(f(X12,X13),X14), inference(variable_rename,[status(thm)],[p61_1])).
% 0.24/1.61 cnf(i_0_5, negated_conjecture, (f(esk1_0,f(esk2_0,f(esk3_0,esk4_0)))!=f(f(f(esk1_0,esk2_0),esk3_0),esk4_0)), inference(split_conjunct,[status(thm)],[i_0_3]), ['final']).
% 0.24/1.61 cnf(i_0_6, plain, (f(X1,f(X2,X3))=f(f(X1,X2),X3)), inference(split_conjunct,[status(thm)],[i_0_4]), ['final']).
% 0.24/1.61 cnf(i_0_7, axiom, (X1=X1)).
% 0.24/1.61 cnf(i_0_8, axiom, (X1=X2|X2!=X1)).
% 0.24/1.61 cnf(i_0_9, axiom, (X1=X2|X1!=X3|X3!=X2)).
% 0.24/1.61 cnf(i_0_10, axiom, (X1!=X2|f(X1,X3)=f(X2,X3))).
% 0.24/1.61 cnf(i_0_11, axiom, (X1!=X2|f(X3,X1)=f(X3,X2))).
% 0.24/1.63 cnf(i_0_7, axiom, (X1=X1)).
% 0.24/1.63 cnf(i_0_8, axiom, (X1=X2|X2!=X1)).
% 0.24/1.63 cnf(i_0_9, axiom, (X1=X2|X1!=X3|X3!=X2)).
% 0.24/1.63 cnf(i_0_10, axiom, (X1!=X2|f(X1,X3)=f(X2,X3))).
% 0.24/1.63 cnf(i_0_11, axiom, (X1!=X2|f(X3,X1)=f(X3,X2))).
% 0.24/1.63 cnf(i_0_12, plain, (f(f(X1,X2),X3)=f(X1,f(X2,X3))), inference(scs_inference,[],[i_0_6,i_0_8])).
% 0.24/1.63 cnf(i_0_13, plain, (f(esk1_0,f(esk2_0,f(esk3_0,esk4_0)))!=f(f(esk1_0,esk2_0),f(esk3_0,esk4_0))), inference(scs_inference,[],[i_0_5,i_0_6,i_0_8,i_0_9])).
% 0.24/1.63 cnf(i_0_14, plain, (f(X1,f(X2,X3))=f(f(X1,X2),X3)), inference(rename_variables,[],[i_0_6])).
% 0.24/1.63 cnf(i_0_15,plain, ($false), inference(scs_inference,[],[i_0+13, i_0_6]), ['proof']).
% 0.24/1.63 % SZS output end CNFRefutation
% 0.24/1.63 % Total time : 1.271s
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