%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN393+1.003 : 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 : n011.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 05:37:00 PM UTC 2026
% Result : Theorem 0.29s 1.60s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN393+1.003 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.11 % 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
% 0.13/0.32 % Computer : n011.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 08:30:47 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 0.29/1.60 % Version : CSE_E---1.7
% 0.29/1.60 % Problem : theBenchmark.p
% 0.29/1.60 % SZS status Theorem for theBenchmark.p
% 0.29/1.60 % SZS output start CNFRefutation
% 0.29/1.60 fof(pel12, conjecture, (((p1<=>p2)<=>p3)<=>(p1<=>(p2<=>p3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', pel12)).
% 0.29/1.60 fof(i_0_1, negated_conjecture, ~((((p1<=>p2)<=>p3)<=>(p1<=>(p2<=>p3)))), inference(assume_negation,[status(cth)],[pel12])).
% 0.29/1.60 fof(i_0_2, negated_conjecture, ((((((~p2|~p3|~p1|(~p1|~p2|~p3))&(p2|p3|~p1|(~p1|~p2|~p3)))&((~p2|p3|p1|(~p1|~p2|~p3))&(~p3|p2|p1|(~p1|~p2|~p3))))&(((~p2|~p3|~p1|(p1|p2|~p3))&(p2|p3|~p1|(p1|p2|~p3)))&((~p2|p3|p1|(p1|p2|~p3))&(~p3|p2|p1|(p1|p2|~p3)))))&((((~p2|~p3|~p1|(~p1|p2|p3))&(p2|p3|~p1|(~p1|p2|p3)))&((~p2|p3|p1|(~p1|p2|p3))&(~p3|p2|p1|(~p1|p2|p3))))&(((~p2|~p3|~p1|(~p2|p1|p3))&(p2|p3|~p1|(~p2|p1|p3)))&((~p2|p3|p1|(~p2|p1|p3))&(~p3|p2|p1|(~p2|p1|p3))))))&(((((~p2|p3|~p1|(~p1|~p2|p3))&(~p3|p2|~p1|(~p1|~p2|p3)))&((~p2|~p3|p1|(~p1|~p2|p3))&(p2|p3|p1|(~p1|~p2|p3))))&(((~p2|p3|~p1|(p1|p2|p3))&(~p3|p2|~p1|(p1|p2|p3)))&((~p2|~p3|p1|(p1|p2|p3))&(p2|p3|p1|(p1|p2|p3)))))&((((~p2|p3|~p1|(~p1|p2|~p3))&(~p3|p2|~p1|(~p1|p2|~p3)))&((~p2|~p3|p1|(~p1|p2|~p3))&(p2|p3|p1|(~p1|p2|~p3))))&(((~p2|p3|~p1|(~p2|p1|~p3))&(~p3|p2|~p1|(~p2|p1|~p3)))&((~p2|~p3|p1|(~p2|p1|~p3))&(p2|p3|p1|(~p2|p1|~p3))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1])])).
% 0.29/1.60 cnf(i_0_3, negated_conjecture, (~p2|~p3|~p1|~p1|~p2|~p3), inference(split_conjunct,[status(thm)],[i_0_2])).
% 0.29/1.60 cnf(i_0_4, negated_conjecture, (p3|p3|~p2|~p1|~p1|~p2), inference(split_conjunct,[status(thm)],[i_0_2])).
% 0.29/1.60 cnf(i_0_5, negated_conjecture, (p2|p2|~p3|~p1|~p1|~p3), inference(split_conjunct,[status(thm)],[i_0_2])).
% 0.29/1.60 cnf(i_0_6, negated_conjecture, (p1|p1|~p2|~p3|~p2|~p3), inference(split_conjunct,[status(thm)],[i_0_2])).
% 0.29/1.60 cnf(i_0_7, negated_conjecture, (p2|p3|p2|p3|~p1|~p1), inference(split_conjunct,[status(thm)],[i_0_2])).
% 0.29/1.60 cnf(i_0_8, negated_conjecture, (p3|p1|p1|p3|~p2|~p2), inference(split_conjunct,[status(thm)],[i_0_2])).
% 0.29/1.60 cnf(i_0_9, negated_conjecture, (p2|p1|p1|p2|~p3|~p3), inference(split_conjunct,[status(thm)],[i_0_2])).
% 0.29/1.60 cnf(i_0_10, negated_conjecture, (p2|p3|p1|p1|p2|p3), inference(split_conjunct,[status(thm)],[i_0_2])).
% 0.29/1.60 cnf(i_0_11, negated_conjecture, (~p1|~p2|~p3), inference(cn,[status(thm)],[i_0_3]), ['final']).
% 0.29/1.60 cnf(i_0_12, negated_conjecture, (p3|~p1|~p2), inference(cn,[status(thm)],[i_0_4]), ['final']).
% 0.29/1.60 cnf(i_0_13, negated_conjecture, (p2|~p1|~p3), inference(cn,[status(thm)],[i_0_5]), ['final']).
% 0.29/1.60 cnf(i_0_14, negated_conjecture, (p1|~p2|~p3), inference(cn,[status(thm)],[i_0_6]), ['final']).
% 0.29/1.60 cnf(i_0_15, negated_conjecture, (p2|p3|~p1), inference(cn,[status(thm)],[i_0_7]), ['final']).
% 0.29/1.60 cnf(i_0_16, negated_conjecture, (p1|p3|~p2), inference(cn,[status(thm)],[i_0_8]), ['final']).
% 0.29/1.60 cnf(i_0_17, negated_conjecture, (p1|p2|~p3), inference(cn,[status(thm)],[i_0_9]), ['final']).
% 0.29/1.60 cnf(i_0_18, negated_conjecture, (p1|p2|p3), inference(cn,[status(thm)],[i_0_10]), ['final']).
% 0.29/1.64 cnf(i_0_19, plain, (~p2|~p3), inference(scs_inference,[],[i_0_11,i_0_14])).
% 0.29/1.64 cnf(i_0_20, plain, (~p1|~p3), inference(scs_inference,[],[i_0_19,i_0_13])).
% 0.29/1.64 cnf(i_0_21, plain, (p2|~p3), inference(scs_inference,[],[i_0_20,i_0_17])).
% 0.29/1.64 cnf(i_0_22, plain, (~p3), inference(scs_inference,[],[i_0_21,i_0_19])).
% 0.29/1.64 cnf(i_0_23, plain, (~p1|~p2), inference(scs_inference,[],[i_0_22,i_0_12])).
% 0.29/1.64 cnf(i_0_24, plain, (p2|~p1), inference(scs_inference,[],[i_0_22,i_0_15])).
% 0.29/1.64 cnf(i_0_25, plain, (p1|~p2), inference(scs_inference,[],[i_0_22,i_0_16])).
% 0.29/1.64 cnf(i_0_26, plain, (p1|p2), inference(scs_inference,[],[i_0_22,i_0_18])).
% 0.29/1.64 cnf(i_0_27, plain, (~p2|p2), inference(scs_inference,[],[i_0_23,i_0_26])).
% 0.29/1.64 cnf(i_0_28, plain, (~p1|p1), inference(scs_inference,[],[i_0_24,i_0_25])).
% 0.29/1.64 cnf(i_0_29, plain, (~p1), inference(scs_inference,[],[i_0_23,i_0_24])).
% 0.29/1.64 cnf(i_0_30, plain, (~p2), inference(scs_inference,[],[i_0_29,i_0_25])).
% 0.29/1.64 cnf(i_0_31, plain, (p2), inference(scs_inference,[],[i_0_29,i_0_26])).
% 0.29/1.64 cnf(i_0_32,plain, ($false), inference(scs_inference,[],[i_0+30, i_0_31]), ['proof']).
% 0.29/1.64 % SZS output end CNFRefutation
% 0.29/1.64 % Total time : 1.271s
%------------------------------------------------------------------------------