%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN367+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 05:36:56 PM UTC 2026
% Result : Theorem 0.25s 1.61s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN367+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n010.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 08:30:06 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 0.25/1.61 % Version : CSE_E---1.7
% 0.25/1.61 % Problem : theBenchmark.p
% 0.25/1.61 % SZS status Theorem for theBenchmark.p
% 0.25/1.61 % SZS output start CNFRefutation
% 0.25/1.61 fof(x2118, conjecture, (![X1]:((p&big_q(X1))|(~(p)&big_r(X1)))=>(![X1]:big_q(X1)|![X1]:big_r(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', x2118)).
% 0.25/1.61 fof(i_0_1, negated_conjecture, ~((![X1]:((p&big_q(X1))|(~p&big_r(X1)))=>(![X1]:big_q(X1)|![X1]:big_r(X1)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[x2118])])).
% 0.25/1.61 fof(i_0_2, negated_conjecture, ![X5]:((((~p|p)&(big_r(X5)|p))&((~p|big_q(X5))&(big_r(X5)|big_q(X5))))&(~big_q(esk1_0)&~big_r(esk2_0))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1])])])])])).
% 0.25/1.61 cnf(i_0_3, negated_conjecture, (big_r(X1)|big_q(X1)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.25/1.61 cnf(i_0_4, negated_conjecture, (big_q(X1)|~p), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.25/1.61 cnf(i_0_5, negated_conjecture, (big_r(X1)|p), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.25/1.61 cnf(i_0_6, negated_conjecture, (~big_r(esk2_0)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.25/1.61 cnf(i_0_7, negated_conjecture, (~big_q(esk1_0)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.25/1.63 cnf(i_0_8, plain, (~p), inference(scs_inference,[],[i_0_7,i_0_4])).
% 0.25/1.63 cnf(i_0_9, plain, (p), inference(scs_inference,[],[i_0_6,i_0_5])).
% 0.25/1.63 cnf(i_0_10, plain, (big_r(esk1_0)), inference(scs_inference,[],[i_0_7,i_0_3])).
% 0.25/1.63 cnf(i_0_11, plain, (big_q(X1)|big_r(X1)), inference(rename_variables,[],[i_0_3])).
% 0.25/1.63 cnf(i_0_12,plain, ($false), inference(scs_inference,[],[i_0+8, i_0_9]), ['proof']).
% 0.25/1.63 % SZS output end CNFRefutation
% 0.25/1.63 % Total time : 1.271s
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