%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR077+4 : TPTP v9.2.1. Bugfixed v7.3.0.
% 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 : n022.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 04:15:02 PM UTC 2026
% Result : Theorem 5.28s 6.27s
% Output : CNFRefutation 5.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 92 ( 34 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 115 ( 45 ~; 52 |; 13 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 20 ( 1 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kb_SUMO_3259,axiom,
! [X52,X53] :
( ( s__AbsoluteValueFn(X53) = X52
& s__instance(X53,s__RealNumber)
& s__instance(X52,s__RealNumber) )
<=> ( ( s__instance(X53,s__NonnegativeRealNumber)
& X53 = X52 )
| ( s__instance(X53,s__NegativeRealNumber)
& X52 = minus("0",X53) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3259) ).
fof(kb_SUMO_3424,axiom,
! [X12] :
( s__instance(X12,s__RealNumber)
=> ( s__instance(X12,s__NegativeRealNumber)
=> s__SignumFn(X12) = "-1" ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3424) ).
fof(kb_SUMO_3422,axiom,
! [X12] :
( s__instance(X12,s__RealNumber)
=> ( s__instance(X12,s__NonnegativeRealNumber)
=> ( s__SignumFn(X12) = "1"
| s__SignumFn(X12) = "0" ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3422) ).
fof(prove_from_SUMO,conjecture,
~ s__instance(s__Number3_1,s__NegativeRealNumber),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO) ).
fof(local_1,axiom,
s__instance(s__Number3_1,s__NonnegativeRealNumber),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).
fof(c_0_5,plain,
! [X13673,X13674] :
( ( s__instance(X13674,s__NegativeRealNumber)
| s__instance(X13674,s__NonnegativeRealNumber)
| s__AbsoluteValueFn(X13674) != X13673
| ~ s__instance(X13674,s__RealNumber)
| ~ s__instance(X13673,s__RealNumber) )
& ( X13673 = minus("0",X13674)
| s__instance(X13674,s__NonnegativeRealNumber)
| s__AbsoluteValueFn(X13674) != X13673
| ~ s__instance(X13674,s__RealNumber)
| ~ s__instance(X13673,s__RealNumber) )
& ( s__instance(X13674,s__NegativeRealNumber)
| X13674 = X13673
| s__AbsoluteValueFn(X13674) != X13673
| ~ s__instance(X13674,s__RealNumber)
| ~ s__instance(X13673,s__RealNumber) )
& ( X13673 = minus("0",X13674)
| X13674 = X13673
| s__AbsoluteValueFn(X13674) != X13673
| ~ s__instance(X13674,s__RealNumber)
| ~ s__instance(X13673,s__RealNumber) )
& ( s__AbsoluteValueFn(X13674) = X13673
| ~ s__instance(X13674,s__NonnegativeRealNumber)
| X13674 != X13673 )
& ( s__instance(X13674,s__RealNumber)
| ~ s__instance(X13674,s__NonnegativeRealNumber)
| X13674 != X13673 )
& ( s__instance(X13673,s__RealNumber)
| ~ s__instance(X13674,s__NonnegativeRealNumber)
| X13674 != X13673 )
& ( s__AbsoluteValueFn(X13674) = X13673
| ~ s__instance(X13674,s__NegativeRealNumber)
| X13673 != minus("0",X13674) )
& ( s__instance(X13674,s__RealNumber)
| ~ s__instance(X13674,s__NegativeRealNumber)
| X13673 != minus("0",X13674) )
& ( s__instance(X13673,s__RealNumber)
| ~ s__instance(X13674,s__NegativeRealNumber)
| X13673 != minus("0",X13674) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3259])])]) ).
fof(c_0_6,plain,
! [X13891] :
( ~ s__instance(X13891,s__RealNumber)
| ~ s__instance(X13891,s__NegativeRealNumber)
| s__SignumFn(X13891) = "-1" ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3424])]) ).
cnf(c_0_7,plain,
( s__instance(X1,s__RealNumber)
| ~ s__instance(X1,s__NegativeRealNumber)
| X2 != minus("0",X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X13889] :
( ~ s__instance(X13889,s__RealNumber)
| ~ s__instance(X13889,s__NonnegativeRealNumber)
| s__SignumFn(X13889) = "1"
| s__SignumFn(X13889) = "0" ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3422])]) ).
cnf(c_0_9,plain,
( s__instance(X1,s__RealNumber)
| ~ s__instance(X2,s__NonnegativeRealNumber)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( s__SignumFn(X1) = "-1"
| ~ s__instance(X1,s__RealNumber)
| ~ s__instance(X1,s__NegativeRealNumber) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( s__instance(X1,s__RealNumber)
| ~ s__instance(X1,s__NegativeRealNumber) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( s__SignumFn(X1) = "1"
| s__SignumFn(X1) = "0"
| ~ s__instance(X1,s__RealNumber)
| ~ s__instance(X1,s__NonnegativeRealNumber) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( s__instance(X1,s__RealNumber)
| ~ s__instance(X1,s__NonnegativeRealNumber) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( s__SignumFn(X1) = "-1"
| ~ s__instance(X1,s__NegativeRealNumber) ),
inference(csr,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( s__SignumFn(X1) = "0"
| s__SignumFn(X1) = "1"
| ~ s__instance(X1,s__NonnegativeRealNumber) ),
inference(csr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( s__SignumFn(X1) = "1"
| ~ s__instance(X1,s__NegativeRealNumber)
| ~ s__instance(X1,s__NonnegativeRealNumber) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_17,negated_conjecture,
s__instance(s__Number3_1,s__NegativeRealNumber),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_from_SUMO])]) ).
cnf(c_0_18,plain,
( ~ s__instance(X1,s__NegativeRealNumber)
| ~ s__instance(X1,s__NonnegativeRealNumber) ),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
s__instance(s__Number3_1,s__NegativeRealNumber),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,plain,
s__instance(s__Number3_1,s__NonnegativeRealNumber),
inference(split_conjunct,[status(thm)],[local_1]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : CSR077+4 : TPTP v9.2.1. Bugfixed v7.3.0.
% 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
% 0.14/0.32 % Computer : n022.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 16:46:06 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 5.28/6.27 % Version : CSE_E---1.7
% 5.28/6.27 % Problem : theBenchmark.p
% 5.28/6.27 % SZS status Theorem for theBenchmark.p
% 5.28/6.27 % SZS output start CNFRefutation
% See solution above
% 5.28/6.29 % Total time : 5.178s
%------------------------------------------------------------------------------