%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN918+1 : TPTP v9.2.1. Released v3.1.0.
% 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 : n021.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 05:50:54 PM UTC 2026
% Result : Theorem 0.27s 1.61s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN918+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n021.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 08:50:55 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.27/1.61 % Version : CSE_E---1.7
% 0.27/1.61 % Problem : theBenchmark.p
% 0.27/1.61 % SZS status Theorem for theBenchmark.p
% 0.27/1.61 % SZS output start CNFRefutation
% 0.27/1.61 fof(prove_this, conjecture, ((![X1]:(((f(X1)&g(X1))=>h(X1))=>?[X2]:(f(X2)&~(g(X2))))&(![X3]:(f(X3)=>g(X3))|![X4]:(f(X4)=>h(X4))))=>(![X5]:((f(X5)&h(X5))=>g(X5))=>?[X6]:((f(X6)&g(X6))&~(h(X6))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_this)).
% 0.27/1.61 fof(i_0_1, negated_conjecture, ~(((![X1]:(((f(X1)&g(X1))=>h(X1))=>?[X2]:(f(X2)&~g(X2)))&(![X3]:(f(X3)=>g(X3))|![X4]:(f(X4)=>h(X4))))=>(![X5]:((f(X5)&h(X5))=>g(X5))=>?[X6]:((f(X6)&g(X6))&~h(X6))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_this])])).
% 0.27/1.61 fof(i_0_2, negated_conjecture, ![X13, X14, X15, X17, X18, X19, X20]:((((((f(esk1_0)|f(X13))&(~g(esk1_0)|f(X13)))&((f(esk1_0)|g(X14))&(~g(esk1_0)|g(X14))))&((f(esk1_0)|~h(X15))&(~g(esk1_0)|~h(X15))))&(~f(X17)|g(X17)|(~f(X18)|h(X18))))&((~f(X19)|~h(X19)|g(X19))&(~f(X20)|~g(X20)|h(X20)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1])])])])])])).
% 0.27/1.61 cnf(i_0_3, negated_conjecture, (g(X1)|h(X2)|~f(X1)|~f(X2)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.27/1.61 cnf(i_0_4, negated_conjecture, (h(X1)|~f(X1)|~g(X1)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.27/1.61 cnf(i_0_5, negated_conjecture, (g(X1)|~f(X1)|~h(X1)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.27/1.61 cnf(i_0_6, negated_conjecture, (~g(esk1_0)|~h(X1)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.27/1.61 cnf(i_0_7, negated_conjecture, (f(esk1_0)|~h(X1)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.27/1.61 cnf(i_0_8, negated_conjecture, (g(X1)|~g(esk1_0)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.27/1.61 cnf(i_0_9, negated_conjecture, (f(X1)|~g(esk1_0)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.27/1.61 cnf(i_0_10, negated_conjecture, (f(esk1_0)|g(X1)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.27/1.61 cnf(i_0_11, negated_conjecture, (f(esk1_0)|f(X1)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.27/1.64 cnf(i_0_12, plain, (f(esk1_0)), nference(factoring_inference,[],[11])).
% 0.27/1.64 cnf(i_0_13, plain, (~g(esk1_0)|h(esk1_0)), inference(scs_inference,[],[i_0_12,i_0_4])).
% 0.27/1.64 cnf(i_0_14, plain, (~f(X1)|~g(X1)|h(X1)), inference(rename_variables,[],[i_0_4])).
% 0.27/1.64 cnf(i_0_15, plain, (~h(esk1_0)|h(esk1_0)), inference(scs_inference,[],[i_0_12,i_0_4,i_0_5])).
% 0.27/1.64 cnf(i_0_16, plain, (~f(X1)|~h(X1)|g(X1)), inference(rename_variables,[],[i_0_5])).
% 0.27/1.64 cnf(i_0_17, plain, (~h(esk1_0)|g(esk1_0)), inference(scs_inference,[],[i_0_12,i_0_5])).
% 0.27/1.64 cnf(i_0_18, plain, (~f(X1)|~h(X1)|g(X1)), inference(rename_variables,[],[i_0_5])).
% 0.27/1.64 cnf(i_0_19, plain, (g(esk1_0)), inference(scs_inference,[],[i_0_12,i_0_5,i_0_3])).
% 0.27/1.64 cnf(i_0_20, plain, (~f(X1)|~f(X2)|g(X1)|h(X2)), inference(rename_variables,[],[i_0_3])).
% 0.27/1.64 cnf(i_0_21, plain, (~h(X1)), inference(scs_inference,[],[i_0_19,i_0_6])).
% 0.27/1.64 cnf(i_0_22, plain, (g(X1)), inference(scs_inference,[],[i_0_19,i_0_8])).
% 0.27/1.64 cnf(i_0_23, plain, (f(X1)), inference(scs_inference,[],[i_0_19,i_0_9])).
% 0.27/1.64 cnf(i_0_24, plain, (h(esk1_0)), inference(scs_inference,[],[i_0_19,i_0_13])).
% 0.27/1.64 cnf(i_0_25,plain, ($false), inference(scs_inference,[],[i_0+21, i_0_24]), ['proof']).
% 0.27/1.64 % SZS output end CNFRefutation
% 0.27/1.64 % Total time : 1.271s
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