%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM852+1 : TPTP v9.2.1. Released v4.1.0.
% 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 : n001.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 04:58:44 PM UTC 2026
% Result : Theorem 1.39s 1.75s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 28 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 1 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(302, 0), 1)',axiom,
! [X3,X4] :
( greater(X3,X4)
=> vmul(vplus(X4,vskolem9(X3,X4)),vd469) = vplus(vmul(X4,vd469),vmul(vskolem9(X3,X4),vd469)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(302, 0), 1)') ).
fof('ass(cond(270, 0), 0)',axiom,
! [X11,X12] : vmul(X11,X12) = vmul(X12,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof('ass(cond(302, 0), 3)',axiom,
! [X3,X4] :
( greater(X3,X4)
=> X3 = vplus(X4,vskolem9(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(302, 0), 3)') ).
fof('holds(conseq_conjunct1(conseq(304)), 483, 0)',axiom,
greater(vd481,vd480),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq_conjunct1(conseq(304)), 483, 0)') ).
fof('ass(cond(189, 0), 0)',axiom,
! [X41,X42] : greater(vplus(X41,X42),X41),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof('holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)',conjecture,
greater(vmul(vd481,vd469),vmul(vd480,vd469)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)') ).
fof(c_0_6,plain,
! [X233,X234] :
( ~ greater(X233,X234)
| vmul(vplus(X234,vskolem9(X233,X234)),vd469) = vplus(vmul(X234,vd469),vmul(vskolem9(X233,X234),vd469)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(302, 0), 1)'])]) ).
fof(c_0_7,plain,
! [X245,X246] : vmul(X245,X246) = vmul(X246,X245),
inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).
fof(c_0_8,plain,
! [X237,X238] :
( ~ greater(X237,X238)
| X237 = vplus(X238,vskolem9(X237,X238)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(302, 0), 3)'])]) ).
cnf(c_0_9,plain,
( vmul(vplus(X2,vskolem9(X1,X2)),vd469) = vplus(vmul(X2,vd469),vmul(vskolem9(X1,X2),vd469))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( X1 = vplus(X2,vskolem9(X1,X2))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
greater(vd481,vd480),
inference(split_conjunct,[status(thm)],['holds(conseq_conjunct1(conseq(304)), 483, 0)']) ).
fof(c_0_13,plain,
! [X287,X288] : greater(vplus(X287,X288),X287),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
cnf(c_0_14,plain,
( vplus(vmul(X1,vd469),vmul(vd469,vskolem9(X2,X1))) = vmul(vd469,vplus(X1,vskolem9(X2,X1)))
| ~ greater(X2,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).
cnf(c_0_15,plain,
vplus(vd480,vskolem9(vd481,vd480)) = vd481,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_16,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)'])]) ).
cnf(c_0_17,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
vplus(vmul(vd480,vd469),vmul(vd469,vskolem9(vd481,vd480))) = vmul(vd481,vd469),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12]),c_0_15]),c_0_10]) ).
cnf(c_0_19,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM852+1 : TPTP v9.2.1. Released v4.1.0.
% 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
% 0.16/0.33 % Computer : n001.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:16:49 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.39/1.75 % Version : CSE_E---1.7
% 1.39/1.75 % Problem : theBenchmark.p
% 1.39/1.75 % SZS status Theorem for theBenchmark.p
% 1.39/1.75 % SZS output start CNFRefutation
% See solution above
% 1.39/1.76 % Total time : 1.371s
%------------------------------------------------------------------------------