%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR031+4 : TPTP v9.2.1. Released v3.4.0.
% 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 : n013.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 04:14:00 PM UTC 2026
% Result : Theorem 29.61s 20.32s
% Output : CNFRefutation 29.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 6 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax3_41386,axiom,
! [X16,X17] :
( disjointwith(X16,X17)
=> disjointwith(X17,X16) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_41386) ).
fof(query181,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query181) ).
fof(ax3_7072,axiom,
! [X2,X3] :
( disjointwith(X2,X3)
=> collection(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_7072) ).
fof(ax3_4028,axiom,
! [X1] :
~ ( collection(X1)
& individual(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_4028) ).
fof(ax3_20191,axiom,
individual(c_tptptptpcol_16_8398),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_20191) ).
fof(c_0_5,plain,
! [X44567,X44568] :
( ~ disjointwith(X44567,X44568)
| disjointwith(X44568,X44567) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_41386])]) ).
fof(c_0_6,negated_conjecture,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query181])]) ).
fof(c_0_7,plain,
! [X25614,X25615] :
( ~ disjointwith(X25614,X25615)
| collection(X25615) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_7072])]) ).
cnf(c_0_8,plain,
( disjointwith(X2,X1)
| ~ disjointwith(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X24925] :
( ~ collection(X24925)
| ~ individual(X24925) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_4028])]) ).
cnf(c_0_11,plain,
( collection(X2)
| ~ disjointwith(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
disjointwith(c_tptpcol_16_18488,c_tptptptpcol_16_8398),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( ~ collection(X1)
| ~ individual(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
collection(c_tptptptpcol_16_8398),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
individual(c_tptptptpcol_16_8398),
inference(split_conjunct,[status(thm)],[ax3_20191]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.22 % Problem : CSR031+4 : TPTP v9.2.1. Released v3.4.0.
% 0.04/0.22 % 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
% 0.16/0.45 % Computer : n013.cluster.edu
% 0.16/0.45 % Model : x86_64 x86_64
% 0.16/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.45 % Memory : 8042.1875MB
% 0.16/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.45 % CPULimit : 300
% 0.16/0.45 % WCLimit : 300
% 0.16/0.45 % DateTime : Mon May 4 16:27:57 EDT 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.46 % start to proof: theBenchmark
% 29.61/20.32 % Version : CSE_E---1.7
% 29.61/20.32 % Problem : theBenchmark.p
% 29.61/20.32 % SZS status Theorem for theBenchmark.p
% 29.61/20.32 % SZS output start CNFRefutation
% See solution above
% 29.61/20.35 % Total time : 18.716s
%------------------------------------------------------------------------------