%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS078+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 : n031.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 0.18s 0.40s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 4 unt; 0 def)
% Number of atoms : 60 ( 6 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 65 ( 28 ~; 24 |; 8 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn 9 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_4,plain,
cUnsatisfiable(i2003_11_14_17_19_13721),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(31,plain,
cUnsatisfiable(i2003_11_14_17_19_13721),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_19_13721),
inference(instantiation,[status(thm)],[31]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& ? [Z] :
( rinvR(Y,Z)
& ! [W] :
( rs(Z,W)
=> cp(W) ) )
& ! [Z0,Z1] :
( ( rinvR(Y,Z0)
& rinvR(Y,Z1) )
=> Z0 = Z1 ) )
& ? [Y] :
( rs(X,Y)
& ~ cq(Y)
& ~ cp(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(21,plain,
( ~ cUnsatisfiable(X0)
| rs(X0,sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_13721)
| rs(i2003_11_14_17_19_13721,sK3(i2003_11_14_17_19_13721)) ),
inference(instantiation,[status(thm)],[21]) ).
fof(rs_substitution_1,plain,
! [A,B,C] :
( ( A = B
& rs(A,C) )
=> rs(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rs_substitution_1) ).
cnf(9,plain,
( X0 != X1
| ~ rs(X0,X2)
| rs(X1,X2) ),
inference(cnf,[status(esa)],[rs_substitution_1]) ).
cnf(l39,plain,
( i2003_11_14_17_19_13721 != sK2(i2003_11_14_17_19_13721)
| ~ rs(i2003_11_14_17_19_13721,sK3(i2003_11_14_17_19_13721))
| rs(sK2(i2003_11_14_17_19_13721),sK3(i2003_11_14_17_19_13721)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(19,plain,
( ~ cUnsatisfiable(X0)
| ~ rs(sK2(X0),X1)
| cp(X1) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l167,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_13721)
| ~ rs(sK2(i2003_11_14_17_19_13721),sK3(i2003_11_14_17_19_13721))
| cp(sK3(i2003_11_14_17_19_13721)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(20,plain,
( ~ cUnsatisfiable(X0)
| ~ rinvR(sK1(X0),X1)
| ~ rinvR(sK1(X0),X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l40,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_13721)
| ~ rinvR(sK1(i2003_11_14_17_19_13721),i2003_11_14_17_19_13721)
| ~ rinvR(sK1(i2003_11_14_17_19_13721),sK2(i2003_11_14_17_19_13721))
| i2003_11_14_17_19_13721 = sK2(i2003_11_14_17_19_13721) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(23,plain,
( ~ cUnsatisfiable(X0)
| ~ cp(sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l168,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_13721)
| ~ cp(sK3(i2003_11_14_17_19_13721)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(18,plain,
( ~ cUnsatisfiable(X0)
| rinvR(sK1(X0),sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l136,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_13721)
| rinvR(sK1(i2003_11_14_17_19_13721),sK2(i2003_11_14_17_19_13721)) ),
inference(instantiation,[status(thm)],[18]) ).
fof(axiom_3,plain,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(30,plain,
( ~ rr(X0,X1)
| rinvR(X1,X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l63,plain,
( ~ rr(i2003_11_14_17_19_13721,sK1(i2003_11_14_17_19_13721))
| rinvR(sK1(i2003_11_14_17_19_13721),i2003_11_14_17_19_13721) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(17,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l139,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_13721)
| rr(i2003_11_14_17_19_13721,sK1(i2003_11_14_17_19_13721)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l39,l167,l40,l168,l136,l63,l139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS078+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
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 22:10:35 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 0.18/0.40 % SZS status Theorem for theBenchmark
% 0.18/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------