%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN726-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n004.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 03:35:34 PM UTC 2026
% Result : Unsatisfiable 5.88s 1.46s
% Output : Proof 5.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 15 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 77 ( 35 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 69 ( 7 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,negated_conjecture,
( ~ q(B,C)
| ~ q(A,B)
| q(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_2) ).
fof(f1_nnf,plain,
! [A,C,B] :
( ~ q(B,C)
| ~ q(A,B)
| q(A,C) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,C,B] :
( ~ q(B,C)
| ~ q(A,B)
| q(A,C) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ q(X2,X1)
| ~ q(X0,X2)
| q(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f3,negated_conjecture,
( q(A,B)
| p(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_4) ).
fof(f3_nnf,plain,
! [A,B] :
( q(A,B)
| p(A,B) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A,B] :
( q(A,B)
| p(A,B) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( q(X0,X1)
| p(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f2,negated_conjecture,
( ~ q(A,B)
| q(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_3) ).
fof(f2_nnf,plain,
! [B,A] :
( ~ q(A,B)
| q(B,A) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [B,A] :
( ~ q(A,B)
| q(B,A) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ q(X1,X0)
| q(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p7,plain,
( q(X1,X0)
| p(X0,X1) ),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(p13,plain,
( p(X2,X0)
| ~ q(X2,X1)
| q(X0,X1) ),
inference(resolution,[status(thm)],[c1,p7]) ).
cnf(p17,plain,
( p(X2,X1)
| p(X2,X0)
| q(X0,X1) ),
inference(resolution,[status(thm)],[p13,c3]) ).
cnf(f5,negated_conjecture,
~ q(sk3,sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_6) ).
fof(f5_nnf,plain,
~ q(sk3,sk4),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
~ q(sk3,sk4),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
~ q(sk3,sk4),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p69,plain,
( p(X0,sk4)
| p(X0,sk3) ),
inference(resolution,[status(thm)],[p17,c5]) ).
cnf(f0,negated_conjecture,
( ~ p(B,C)
| ~ p(A,B)
| p(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_1) ).
fof(f0_nnf,plain,
! [A,C,B] :
( ~ p(B,C)
| ~ p(A,B)
| p(A,C) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,C,B] :
( ~ p(B,C)
| ~ p(A,B)
| p(A,C) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ p(X2,X1)
| ~ p(X0,X2)
| p(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p113,plain,
( ~ p(sk4,X1)
| p(X0,X1)
| p(X0,sk3) ),
inference(resolution,[status(thm)],[p69,c0]) ).
cnf(p525,plain,
( ~ p(sk4,sk3)
| p(X0,sk3) ),
inference(factoring,[status(thm)],[p113]) ).
cnf(p12,plain,
( p(X0,X2)
| ~ q(X2,X1)
| q(X0,X1) ),
inference(resolution,[status(thm)],[c1,c3]) ).
cnf(p16,plain,
( p(X1,X2)
| p(X0,X2)
| q(X0,X1) ),
inference(resolution,[status(thm)],[p12,p7]) ).
cnf(p45,plain,
( p(sk4,X0)
| p(sk3,X0) ),
inference(resolution,[status(thm)],[p16,c5]) ).
cnf(p6,plain,
p(sk3,sk4),
inference(resolution,[status(thm)],[c3,c5]) ).
cnf(p8,plain,
( ~ p(sk4,X0)
| p(sk3,X0) ),
inference(resolution,[status(thm)],[p6,c0]) ).
cnf(p84,plain,
( p(sk3,X0)
| p(sk3,X0) ),
inference(resolution,[status(thm)],[p45,p8]) ).
cnf(p115,plain,
p(sk3,X0),
inference(factoring,[status(thm)],[p84]) ).
cnf(p9,plain,
p(sk4,sk3),
inference(resolution,[status(thm)],[p7,c5]) ).
cnf(p10,plain,
( ~ p(sk3,X0)
| p(sk4,X0) ),
inference(resolution,[status(thm)],[p9,c0]) ).
cnf(p127,plain,
p(sk4,X0),
inference(resolution,[status(thm)],[p115,p10]) ).
cnf(p536,plain,
p(X0,sk3),
inference(resolution,[status(thm)],[p525,p127]) ).
cnf(p559,plain,
( ~ p(sk3,X1)
| p(X0,X1) ),
inference(resolution,[status(thm)],[p536,c0]) ).
cnf(p564,plain,
p(X0,X1),
inference(resolution,[status(thm)],[p559,p115]) ).
cnf(f4,negated_conjecture,
~ p(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_5) ).
fof(f4_nnf,plain,
~ p(sk1,sk2),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
~ p(sk1,sk2),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
~ p(sk1,sk2),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p565,plain,
$false,
inference(resolution,[status(thm)],[p564,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN726-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 02:11:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.88/1.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.88/1.46 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------