%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KRS090+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:53:01 PM UTC 2026
% Result : Unsatisfiable 5.73s 1.18s
% Output : Proof 5.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 12 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 109 ( 44 ~; 44 |; 15 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 31 ( 0 sgn 18 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X] :
( cC5(X)
=> ! [Y] :
( rR(X,Y)
=> cC3(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f6_nnf,plain,
! [X] :
( ! [Y] :
( cC3(Y)
| ~ rR(X,Y) )
| ~ cC5(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( cC3(Y)
| ~ rR(X,Y)
| ~ cC5(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c42,plain,
( cC3(X1)
| ~ rR(X0,X1)
| ~ cC5(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f7,axiom,
! [X] :
( cTEST(X)
=> ( cC5(X)
& cC1(X)
& cC4(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f7_nnf,plain,
! [X] :
( ( cC5(X)
& cC1(X)
& cC4(X) )
| ~ cTEST(X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X] :
( ( cC5(X)
& cC1(X)
& cC4(X) )
| ~ cTEST(X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c45,plain,
( cC5(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f8,axiom,
cTEST(i2003_11_14_17_19_57994),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f8_nnf,plain,
cTEST(i2003_11_14_17_19_57994),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c46,plain,
cTEST(i2003_11_14_17_19_57994),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(p50,plain,
cC5(i2003_11_14_17_19_57994),
inference(resolution,[status(thm)],[c45,c46]) ).
cnf(p86,plain,
( cC3(X0)
| ~ rR(i2003_11_14_17_19_57994,X0) ),
inference(resolution,[status(thm)],[c42,p50]) ).
fof(f5,axiom,
! [X] :
( cC4(X)
=> ? [Y] :
( cC2(Y)
& rR(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f5_nnf,plain,
! [X] :
( ? [Y] :
( cC2(Y)
& rR(X,Y) )
| ~ cC4(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( ( cC2(sk0(X))
& rR(X,sk0(X)) )
| ~ cC4(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f5_nnf]) ).
cnf(c40,plain,
( rR(X0,sk0(X0))
| ~ cC4(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(c43,plain,
( cC4(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p47,plain,
cC4(i2003_11_14_17_19_57994),
inference(resolution,[status(thm)],[c43,c46]) ).
cnf(p53,plain,
rR(i2003_11_14_17_19_57994,sk0(i2003_11_14_17_19_57994)),
inference(resolution,[status(thm)],[c40,p47]) ).
cnf(p87,plain,
cC3(sk0(i2003_11_14_17_19_57994)),
inference(resolution,[status(thm)],[p86,p53]) ).
fof(f4,axiom,
! [X] :
( cC3(X)
=> ( ( ~ cA(X)
| cB(X) )
& ( ~ cA(X)
| ~ cB(X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f4_nnf,plain,
! [X] :
( ( ( ~ cA(X)
| cB(X) )
& ( ~ cA(X)
| ~ cB(X) ) )
| ~ cC3(X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( ( ( ~ cA(X)
| cB(X) )
& ( ~ cA(X)
| ~ cB(X) ) )
| ~ cC3(X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c39,plain,
( ~ cA(X0)
| cB(X0)
| ~ cC3(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p89,plain,
( ~ cA(sk0(i2003_11_14_17_19_57994))
| cB(sk0(i2003_11_14_17_19_57994)) ),
inference(resolution,[status(thm)],[p87,c39]) ).
fof(f3,axiom,
! [X] :
( cC2(X)
=> ( ( cA(X)
| cB(X) )
& ( cA(X)
| ~ cB(X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f3_nnf,plain,
! [X] :
( ( ( cA(X)
| cB(X) )
& ( cA(X)
| ~ cB(X) ) )
| ~ cC2(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( ( ( cA(X)
| cB(X) )
& ( cA(X)
| ~ cB(X) ) )
| ~ cC2(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c37,plain,
( cA(X0)
| cB(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(c41,plain,
( cC2(sk0(X0))
| ~ cC4(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p51,plain,
cC2(sk0(i2003_11_14_17_19_57994)),
inference(resolution,[status(thm)],[c41,p47]) ).
cnf(p85,plain,
( cA(sk0(i2003_11_14_17_19_57994))
| cB(sk0(i2003_11_14_17_19_57994)) ),
inference(resolution,[status(thm)],[c37,p51]) ).
cnf(p90,plain,
( cB(sk0(i2003_11_14_17_19_57994))
| cB(sk0(i2003_11_14_17_19_57994)) ),
inference(resolution,[status(thm)],[p89,p85]) ).
cnf(p91,plain,
cB(sk0(i2003_11_14_17_19_57994)),
inference(factoring,[status(thm)],[p90]) ).
cnf(c38,plain,
( ~ cA(X0)
| ~ cB(X0)
| ~ cC3(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p88,plain,
( ~ cA(sk0(i2003_11_14_17_19_57994))
| ~ cB(sk0(i2003_11_14_17_19_57994)) ),
inference(resolution,[status(thm)],[p87,c38]) ).
cnf(p93,plain,
~ cA(sk0(i2003_11_14_17_19_57994)),
inference(resolution,[status(thm)],[p91,p88]) ).
cnf(c36,plain,
( cA(X0)
| ~ cB(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p84,plain,
( cA(sk0(i2003_11_14_17_19_57994))
| ~ cB(sk0(i2003_11_14_17_19_57994)) ),
inference(resolution,[status(thm)],[c36,p51]) ).
cnf(p92,plain,
cA(sk0(i2003_11_14_17_19_57994)),
inference(resolution,[status(thm)],[p91,p84]) ).
cnf(p94,plain,
$false,
inference(resolution,[status(thm)],[p93,p92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS090+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Wed Sep 23 19:21:05 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.73/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.73/1.18 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------