%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN361+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 : n023.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 0.26s 1.62s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_4)
% Comments :
%------------------------------------------------------------------------------
fof(x2112,conjecture,
( ( ? [X1] :
! [X2] : big_p(X2,X1)
& ! [X2] :
( big_s(X2)
=> ? [X3] : big_q(X3,X2) )
& ! [X2,X3] :
( big_p(X2,X3)
=> ~ big_q(X2,X3) ) )
=> ? [X4] : ~ big_s(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2112) ).
fof(i_0_1,negated_conjecture,
~ ( ( ? [X1] :
! [X2] : big_p(X2,X1)
& ! [X2] :
( big_s(X2)
=> ? [X3] : big_q(X3,X2) )
& ! [X2,X3] :
( big_p(X2,X3)
=> ~ big_q(X2,X3) ) )
=> ? [X4] : ~ big_s(X4) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[x2112])]) ).
fof(i_0_2,negated_conjecture,
! [X13,X14,X16,X17,X18] :
( big_p(X13,esk1_0)
& ( ~ big_s(X14)
| big_q(esk2_1(X14),X14) )
& ( ~ big_p(X16,X17)
| ~ big_q(X16,X17) )
& big_s(X18) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1])])])]) ).
cnf(i_0_3,negated_conjecture,
( big_q(esk2_1(X1),X1)
| ~ big_s(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2]) ).
cnf(i_0_4,negated_conjecture,
big_s(X1),
inference(split_conjunct,[status(thm)],[i_0_2]) ).
cnf(i_0_5,negated_conjecture,
( ~ big_p(X1,X2)
| ~ big_q(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_6,negated_conjecture,
big_q(esk2_1(X1),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[i_0_3,c_0_4])]),
[final] ).
cnf(i_0_7,negated_conjecture,
big_p(X1,esk1_0),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_8,plain,
$false,
inference(scs_inference,[],[i_0_7,i_0_6,i_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN361+1 : TPTP v9.2.1. Released v2.0.0.
% 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
% 0.14/0.33 % Computer : n023.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:30:54 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % 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 Theorem for theBenchmark.p
% 0.26/1.62 % SZS output start CNFRefutation
% See solution above
% 0.26/1.64 % Total time : 1.272s
%------------------------------------------------------------------------------