%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN071+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.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 03:33:42 PM UTC 2026
% Result : Theorem 0.14s 6.04s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 11 ~; 18 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( b = d
| a = c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48_2) ).
fof(f1_nnf,plain,
( b = d
| a = c ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( b = d
| a = c ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( b = d
| a = c ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(f0,axiom,
( c = d
| a = b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48_1) ).
fof(f0_nnf,plain,
( c = d
| a = b ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( c = d
| a = b ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( c = d
| a = b ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6,plain,
( c = b
| a = b
| a = c ),
inference(superposition,[status(thm)],[c1,c0]) ).
fof(f2,conjecture,
( b = c
| a = d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48) ).
fof(f2_neg,negated_conjecture,
~ ( b = c
| a = d ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f2_nnf,plain,
( b != c
& a != d ),
inference(nnf_transformation,[status(thm)],[f2_neg]) ).
fof(f2_sk,plain,
( b != c
& a != d ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c3,plain,
b != c,
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p8,plain,
( b != b
| a = b
| a = c ),
inference(superposition,[status(thm)],[p6,c3]) ).
cnf(p9,plain,
( a = b
| a = c ),
inference(equality_resolution,[status(thm)],[p8]) ).
cnf(c2,plain,
a != d,
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p4,plain,
( a != c
| a = b ),
inference(superposition,[status(thm)],[c0,c2]) ).
cnf(p13,plain,
( a = b
| a = b ),
inference(resolution,[status(thm)],[p9,p4]) ).
cnf(p14,plain,
a = b,
inference(factoring,[status(thm)],[p13]) ).
cnf(p5,plain,
( a != b
| a = c ),
inference(superposition,[status(thm)],[c1,c2]) ).
cnf(p17,plain,
a = c,
inference(resolution,[status(thm)],[p14,p5]) ).
cnf(p15,plain,
a != c,
inference(superposition,[status(thm)],[p14,c3]) ).
cnf(p19,plain,
$false,
inference(resolution,[status(thm)],[p17,p15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN071+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.60 % Computer : n020.cluster.edu
% 0.10/5.60 % Model : x86_64 x86_64
% 0.10/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.60 % Memory : 8046.5625MB
% 0.10/5.60 % OS : Linux 6.8.0-71-generic
% 0.10/5.60 % CPULimit : 300
% 0.10/5.60 % WCLimit : 300
% 0.10/5.60 % DateTime : Fri Sep 25 00:05:10 UTC 2026
% 0.10/5.60 % CPUTime :
% 0.10/5.60 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/6.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/6.04 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------