%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS080+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 : Thu Jul 24 08:46:37 PM UTC 2025
% Result : Unsatisfiable 11.94s 1.84s
% Output : CNFRefutation 11.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 4 unt; 0 def)
% Number of atoms : 156 ( 24 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 173 ( 69 ~; 75 |; 22 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 42 ( 0 sgn 12 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_7,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(55,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(instantiation,[status(thm)],[55]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& cp(Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cp4(Y) )
& ! [Y0,Y1,Y2,Y3] :
( ( rr(X,Y0)
& rr(X,Y1)
& rr(X,Y2)
& rr(X,Y3) )
=> ( Y0 = Y1
| Y0 = Y2
| Y0 = Y3
| Y1 = Y2
| Y1 = Y3
| Y2 = Y3 ) )
& ? [Y] :
( rr(X,Y)
& cp2(Y) )
& ? [Y] :
( rr(X,Y)
& cp3(Y) )
& ? [Y] :
( rr(X,Y)
& cp(Y)
& cp3(Y) )
& ? [Y] :
( rr(X,Y)
& cp2(Y)
& cp(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(24,plain,
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ~ rr(X0,X2)
| ~ rr(X0,X3)
| ~ rr(X0,X4)
| X1 = X2
| X1 = X3
| X1 = X4
| X2 = X3
| X2 = X4
| X3 = X4 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,sK5(i2003_11_14_17_19_21224))
| ~ rr(i2003_11_14_17_19_21224,sK2(i2003_11_14_17_19_21224))
| ~ rr(i2003_11_14_17_19_21224,sK3(i2003_11_14_17_19_21224))
| ~ rr(i2003_11_14_17_19_21224,sK4(i2003_11_14_17_19_21224))
| sK5(i2003_11_14_17_19_21224) = sK2(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK3(i2003_11_14_17_19_21224)
| sK5(i2003_11_14_17_19_21224) = sK4(i2003_11_14_17_19_21224)
| sK2(i2003_11_14_17_19_21224) = sK3(i2003_11_14_17_19_21224)
| sK2(i2003_11_14_17_19_21224) = sK4(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK4(i2003_11_14_17_19_21224) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(25,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK4(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l259,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,sK4(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(23,plain,
( ~ cUnsatisfiable(X0)
| cp4(sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l602,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp4(sK3(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(22,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l257,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,sK3(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[22]) ).
fof(cp1_substitution_1,plain,
! [A,B] :
( ( A = B
& cp1(A) )
=> cp1(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1_substitution_1) ).
cnf(4,plain,
( X0 != X1
| ~ cp1(X0)
| cp1(X1) ),
inference(cnf,[status(esa)],[cp1_substitution_1]) ).
cnf(l299,plain,
( sK2(i2003_11_14_17_19_21224) != sK3(i2003_11_14_17_19_21224)
| ~ cp1(sK2(i2003_11_14_17_19_21224))
| cp1(sK3(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(21,plain,
( ~ cUnsatisfiable(X0)
| cp1(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l324,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp1(sK2(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(28,plain,
( ~ cUnsatisfiable(X0)
| cp3(sK5(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l288,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp3(sK5(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[28]) ).
fof(axiom_3,plain,
! [X] :
( cp1(X)
=> ~ ( cp2(X)
| cp4(X)
| cp5(X)
| cp3(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(46,plain,
( ~ cp4(X0)
| ~ cp1(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l358,plain,
( ~ cp4(sK3(i2003_11_14_17_19_21224))
| ~ cp1(sK3(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[46]) ).
fof(axiom_4,plain,
! [X] :
( cp2(X)
=> ~ ( cp4(X)
| cp5(X)
| cp3(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(49,plain,
( ~ cp4(X0)
| ~ cp2(X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l253,plain,
( ~ cp4(sK4(i2003_11_14_17_19_21224))
| ~ cp2(sK4(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[49]) ).
cnf(26,plain,
( ~ cUnsatisfiable(X0)
| cp2(sK4(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l600,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp2(sK4(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[26]) ).
fof(cp3_substitution_1,plain,
! [A,B] :
( ( A = B
& cp3(A) )
=> cp3(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp3_substitution_1) ).
cnf(6,plain,
( X0 != X1
| ~ cp3(X0)
| cp3(X1) ),
inference(cnf,[status(esa)],[cp3_substitution_1]) ).
cnf(l291,plain,
( sK5(i2003_11_14_17_19_21224) != sK3(i2003_11_14_17_19_21224)
| ~ cp3(sK5(i2003_11_14_17_19_21224))
| cp3(sK3(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(48,plain,
( ~ cp1(X0)
| ~ cp3(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l256,plain,
( ~ cp1(sK2(i2003_11_14_17_19_21224))
| ~ cp3(sK2(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[48]) ).
cnf(27,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK5(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l50,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,sK5(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l307,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp3(sK5(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l298,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp1(sK2(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(20,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l7,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| rr(i2003_11_14_17_19_21224,sK2(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(51,plain,
( ~ cp2(X0)
| ~ cp3(X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l333,plain,
( ~ cp2(sK4(i2003_11_14_17_19_21224))
| ~ cp3(sK4(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[51]) ).
cnf(l279,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp3(sK5(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l463,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp2(sK4(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l361,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp4(sK3(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l265,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp1(sK2(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(45,plain,
( ~ cp1(X0)
| ~ cp2(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l264,plain,
( ~ cp1(sK4(i2003_11_14_17_19_21224))
| ~ cp2(sK4(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[45]) ).
cnf(l337,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp2(sK4(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[26]) ).
fof(axiom_5,plain,
! [X] :
( cp3(X)
=> ~ ( cp4(X)
| cp5(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(52,plain,
( ~ cp4(X0)
| ~ cp3(X0) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l301,plain,
( ~ cp4(sK3(i2003_11_14_17_19_21224))
| ~ cp3(sK3(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[52]) ).
cnf(l397,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_21224)
| cp4(sK3(i2003_11_14_17_19_21224)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l259,l602,l257,l299,l324,l288,l358,l253,l600,l291,l256,l50,l307,l298,l7,l333,l279,l463,l361,l265,l264,l337,l301,l397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KRS080+1 : TPTP v9.0.0. Released v3.1.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 22:10:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.18/0.50 % launching worker at depth: 11
% 11.94/1.84 % SZS status Theorem for theBenchmark
% 11.94/1.84 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------