%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS098+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 : n029.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 08:46:39 PM UTC 2025
% Result : Unsatisfiable 6.03s 1.10s
% Output : CNFRefutation 6.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 4 unt; 0 def)
% Number of atoms : 126 ( 18 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 133 ( 53 ~; 48 |; 21 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 59 ( 0 sgn 23 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_4,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(57,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(instantiation,[status(thm)],[57]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr3(X,Y)
& ? [Z] :
( rt3(Y,Z)
& ce(Z) )
& ! [Z0,Z1] :
( ( rtt(Y,Z0)
& rtt(Y,Z1) )
=> Z0 = Z1 ) )
& ? [Y] :
( rr2(X,Y)
& ! [Z0,Z1] :
( ( rtt(Y,Z0)
& rtt(Y,Z1) )
=> Z0 = Z1 )
& ? [Z] :
( rt2(Y,Z)
& cd(Z) ) )
& ~ ? [Y0,Y1] :
( rr(X,Y0)
& rr(X,Y1)
& Y0 != Y1 )
& ? [Y] :
( rr1(X,Y)
& ! [Z0,Z1] :
( ( rtt(Y,Z0)
& rtt(Y,Z1) )
=> Z0 = Z1 )
& ? [Z] :
( rt1(Y,Z)
& cc(Z) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(32,plain,
( ~ cUnsatisfiable(X0)
| ~ rtt(sK1(X0),X1)
| ~ rtt(sK1(X0),X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| ~ rtt(sK1(i2003_11_14_17_20_25524),sK2(i2003_11_14_17_20_25524))
| ~ rtt(sK1(i2003_11_14_17_20_25524),sK6(i2003_11_14_17_20_25524))
| sK2(i2003_11_14_17_20_25524) = sK6(i2003_11_14_17_20_25524) ),
inference(instantiation,[status(thm)],[32]) ).
fof(axiom_13,plain,
! [X,Y] :
( rt3(X,Y)
=> rtt(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
cnf(66,plain,
( ~ rt3(X0,X1)
| rtt(X0,X1) ),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l175,plain,
( ~ rt3(sK1(i2003_11_14_17_20_25524),sK2(i2003_11_14_17_20_25524))
| rtt(sK1(i2003_11_14_17_20_25524),sK2(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[66]) ).
cnf(30,plain,
( ~ cUnsatisfiable(X0)
| rt3(sK1(X0),sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l176,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| rt3(sK1(i2003_11_14_17_20_25524),sK2(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[30]) ).
fof(rtt_substitution_1,plain,
! [A,B,C] :
( ( A = B
& rtt(A,C) )
=> rtt(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rtt_substitution_1) ).
cnf(21,plain,
( X0 != X1
| ~ rtt(X0,X2)
| rtt(X1,X2) ),
inference(cnf,[status(esa)],[rtt_substitution_1]) ).
cnf(l4,plain,
( sK5(i2003_11_14_17_20_25524) != sK1(i2003_11_14_17_20_25524)
| ~ rtt(sK5(i2003_11_14_17_20_25524),sK6(i2003_11_14_17_20_25524))
| rtt(sK1(i2003_11_14_17_20_25524),sK6(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[21]) ).
fof(axiom_10,plain,
! [X,Y] :
( rt1(X,Y)
=> rtt(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
cnf(63,plain,
( ~ rt1(X0,X1)
| rtt(X0,X1) ),
inference(cnf,[status(esa)],[axiom_10]) ).
cnf(l76,plain,
( ~ rt1(sK5(i2003_11_14_17_20_25524),sK6(i2003_11_14_17_20_25524))
| rtt(sK5(i2003_11_14_17_20_25524),sK6(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[63]) ).
cnf(37,plain,
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ~ rr(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l22,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| ~ rr(i2003_11_14_17_20_25524,sK5(i2003_11_14_17_20_25524))
| ~ rr(i2003_11_14_17_20_25524,sK1(i2003_11_14_17_20_25524))
| sK5(i2003_11_14_17_20_25524) = sK1(i2003_11_14_17_20_25524) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(40,plain,
( ~ cUnsatisfiable(X0)
| rt1(sK5(X0),sK6(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l90,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| rt1(sK5(i2003_11_14_17_20_25524),sK6(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[40]) ).
fof(axiom_12,plain,
! [X,Y] :
( rr3(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
cnf(65,plain,
( ~ rr3(X0,X1)
| rr(X0,X1) ),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l151,plain,
( ~ rr3(i2003_11_14_17_20_25524,sK1(i2003_11_14_17_20_25524))
| rr(i2003_11_14_17_20_25524,sK1(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[65]) ).
cnf(29,plain,
( ~ cUnsatisfiable(X0)
| rr3(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l171,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| rr3(i2003_11_14_17_20_25524,sK1(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_8,plain,
! [X,Y] :
( rr1(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
cnf(61,plain,
( ~ rr1(X0,X1)
| rr(X0,X1) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l125,plain,
( ~ rr1(i2003_11_14_17_20_25524,sK5(i2003_11_14_17_20_25524))
| rr(i2003_11_14_17_20_25524,sK5(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[61]) ).
cnf(38,plain,
( ~ cUnsatisfiable(X0)
| rr1(X0,sK5(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l146,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| rr1(i2003_11_14_17_20_25524,sK5(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[38]) ).
fof(cc_substitution_1,plain,
! [A,B] :
( ( A = B
& cc(A) )
=> cc(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc_substitution_1) ).
cnf(2,plain,
( X0 != X1
| ~ cc(X0)
| cc(X1) ),
inference(cnf,[status(esa)],[cc_substitution_1]) ).
cnf(l195,plain,
( sK2(i2003_11_14_17_20_25524) != sK6(i2003_11_14_17_20_25524)
| ~ cc(sK2(i2003_11_14_17_20_25524))
| cc(sK6(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l196,plain,
( sK6(i2003_11_14_17_20_25524) != sK2(i2003_11_14_17_20_25524)
| ~ cc(sK6(i2003_11_14_17_20_25524))
| cc(sK2(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(axiom_6,plain,
! [X] :
~ ( ce(X)
& cc(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(59,plain,
( ~ cc(X0)
| ~ ce(X0) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l198,plain,
( ~ cc(sK6(i2003_11_14_17_20_25524))
| ~ ce(sK6(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[59]) ).
fof(ce_substitution_1,plain,
! [A,B] :
( ( A = B
& ce(A) )
=> ce(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ce_substitution_1) ).
cnf(4,plain,
( X0 != X1
| ~ ce(X0)
| ce(X1) ),
inference(cnf,[status(esa)],[ce_substitution_1]) ).
cnf(l200,plain,
( sK2(i2003_11_14_17_20_25524) != sK6(i2003_11_14_17_20_25524)
| ~ ce(sK2(i2003_11_14_17_20_25524))
| ce(sK6(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(41,plain,
( ~ cUnsatisfiable(X0)
| cc(sK6(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l197,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| cc(sK6(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(31,plain,
( ~ cUnsatisfiable(X0)
| ce(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l203,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_25524)
| ce(sK2(i2003_11_14_17_20_25524)) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l175,l176,l4,l76,l22,l90,l151,l171,l125,l146,l195,l196,l198,l200,l197,l203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS098+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 22:12:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.19/0.44 % launching worker at depth: 11
% 2.87/0.71 % launching worker at depth: 12
% 6.03/1.10 % SZS status Theorem for theBenchmark
% 6.03/1.10 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------