%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO502+1 : TPTP v9.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n032.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 01:39:06 PM UTC 2025
% Result : Theorem 39.75s 5.31s
% Output : CNFRefutation 39.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 87 ( 42 ~; 39 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-7 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 42 ( 4 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz7_22,plain,
! [Xa1,Xc,Xa2,Xb1,Xb2,Xm1,Xm2] :
( ~ s_t(Xa1,Xc,Xa2)
| ~ s_t(Xb1,Xc,Xb2)
| ~ s_e(Xc,Xa1,Xc,Xb1)
| ~ s_e(Xc,Xa2,Xc,Xb2)
| ~ s_m(Xa1,Xm1,Xb1)
| ~ s_m(Xa2,Xm2,Xb2)
| s_t(Xm1,Xc,Xm2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_22) ).
fof(aSatz7_22_negated,plain,
~ ! [Xa1,Xc,Xa2,Xb1,Xb2,Xm1,Xm2] :
( ~ s_t(Xa1,Xc,Xa2)
| ~ s_t(Xb1,Xc,Xb2)
| ~ s_e(Xc,Xa1,Xc,Xb1)
| ~ s_e(Xc,Xa2,Xc,Xb2)
| ~ s_m(Xa1,Xm1,Xb1)
| ~ s_m(Xa2,Xm2,Xb2)
| s_t(Xm1,Xc,Xm2) ),
inference(negate_conjecture,[status(cth)],[aSatz7_22]) ).
cnf(129,plain,
s_t(sK1,sK2,sK3),
inference(cnf,[status(esa)],[aSatz7_22_negated]) ).
cnf(l0,plain,
s_t(sK1,sK2,sK3),
inference(instantiation,[status(thm)],[129]) ).
fof(d_Defn7_23,plain,
! [Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2] :
( ( ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)
| s_t(Xa1,Xc,Xa2) )
& ( ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)
| s_t(Xb1,Xc,Xb2) )
& ( ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)
| s_e(Xc,Xa1,Xc,Xb1) )
& ( ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)
| s_e(Xc,Xa2,Xc,Xb2) )
& ( ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)
| s_m(Xa1,Xm1,Xb1) )
& ( ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)
| s_m(Xa2,Xm2,Xb2) )
& ( ~ s_t(Xa1,Xc,Xa2)
| ~ s_t(Xb1,Xc,Xb2)
| ~ s_e(Xc,Xa1,Xc,Xb1)
| ~ s_e(Xc,Xa2,Xc,Xb2)
| ~ s_m(Xa1,Xm1,Xb1)
| ~ s_m(Xa2,Xm2,Xb2)
| s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn7_23) ).
cnf(181,plain,
( ~ s_e(X0,X1,X0,X2)
| ~ s_e(X0,X3,X0,X4)
| ~ s_t(X1,X0,X3)
| ~ s_t(X2,X0,X4)
| ~ s_m(X1,X5,X2)
| ~ s_m(X3,X6,X4)
| s_kf(X1,X5,X2,X0,X4,X6,X3) ),
inference(cnf,[status(esa)],[d_Defn7_23]) ).
cnf(l1,plain,
( ~ s_e(sK2,sK1,sK2,sK4)
| ~ s_e(sK2,sK3,sK2,sK5)
| ~ s_t(sK1,sK2,sK3)
| ~ s_t(sK4,sK2,sK5)
| ~ s_m(sK1,sK6,sK4)
| ~ s_m(sK3,sK7,sK5)
| s_kf(sK1,sK6,sK4,sK2,sK5,sK7,sK3) ),
inference(instantiation,[status(thm)],[181]) ).
cnf(131,plain,
s_e(sK2,sK1,sK2,sK4),
inference(cnf,[status(esa)],[aSatz7_22_negated]) ).
cnf(l3,plain,
s_e(sK2,sK1,sK2,sK4),
inference(instantiation,[status(thm)],[131]) ).
cnf(130,plain,
s_t(sK4,sK2,sK5),
inference(cnf,[status(esa)],[aSatz7_22_negated]) ).
cnf(l35,plain,
s_t(sK4,sK2,sK5),
inference(instantiation,[status(thm)],[130]) ).
fof(aSatz7_22b,plain,
! [Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2] :
( ~ s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)
| s_t(Xm1,Xc,Xm2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_22b) ).
cnf(128,plain,
( ~ s_kf(X0,X1,X2,X3,X4,X5,X6)
| s_t(X1,X3,X5) ),
inference(cnf,[status(esa)],[aSatz7_22b]) ).
cnf(l47,plain,
( ~ s_kf(sK1,sK6,sK4,sK2,sK5,sK7,sK3)
| s_t(sK6,sK2,sK7) ),
inference(instantiation,[status(thm)],[128]) ).
cnf(135,plain,
~ s_t(sK6,sK2,sK7),
inference(cnf,[status(esa)],[aSatz7_22_negated]) ).
cnf(l55,plain,
~ s_t(sK6,sK2,sK7),
inference(instantiation,[status(thm)],[135]) ).
cnf(133,plain,
s_m(sK1,sK6,sK4),
inference(cnf,[status(esa)],[aSatz7_22_negated]) ).
cnf(l7,plain,
s_m(sK1,sK6,sK4),
inference(instantiation,[status(thm)],[133]) ).
cnf(134,plain,
s_m(sK3,sK7,sK5),
inference(cnf,[status(esa)],[aSatz7_22_negated]) ).
cnf(l67,plain,
s_m(sK3,sK7,sK5),
inference(instantiation,[status(thm)],[134]) ).
cnf(132,plain,
s_e(sK2,sK3,sK2,sK5),
inference(cnf,[status(esa)],[aSatz7_22_negated]) ).
cnf(l2,plain,
s_e(sK2,sK3,sK2,sK5),
inference(instantiation,[status(thm)],[132]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l35,l47,l55,l7,l67,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO502+1 : TPTP v9.0.0. Released v7.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sun Jul 20 12:31:04 EDT 2025
% 0.08/0.28 % CPUTime :
% 0.12/0.29 % launching worker at depth: 1
% 0.12/0.29 % launching worker at depth: 5
% 0.12/0.29 % launching worker at depth: 4
% 0.12/0.29 % launching worker at depth: 2
% 0.12/0.29 % launching worker at depth: 3
% 0.12/0.29 % launching worker at depth: 6
% 0.12/0.29 % launching worker at depth: 7
% 0.12/0.29 % launching worker at depth: 8
% 0.12/0.29 % launching worker at depth: 9
% 0.12/0.49 % launching worker at depth: 10
% 39.75/5.31 % SZS status Theorem for theBenchmark
% 39.75/5.31 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------