%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN093-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 03:33:47 PM UTC 2026
% Result : Unsatisfiable 4.59s 1.12s
% Output : Proof 4.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 9 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 71 ( 29 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 8 ( 7 usr; 8 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f23,axiom,
( ~ u_12
| p_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_12_t2_3) ).
fof(f23_nnf,plain,
( ~ u_12
| p_2_2 ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
( ~ u_12
| p_2_2 ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( ~ u_12
| p_2_2 ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(f22,axiom,
( p_2_2
| u_12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t2_3) ).
fof(f22_nnf,plain,
( p_2_2
| u_12 ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
( p_2_2
| u_12 ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( p_2_2
| u_12 ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p28,plain,
( p_2_2
| p_2_2 ),
inference(resolution,[status(thm)],[c23,c22]) ).
cnf(p32,plain,
p_2_2,
inference(factoring,[status(thm)],[p28]) ).
cnf(f2,axiom,
( ~ p_1_1
| ~ p_2_2
| p_1_2
| u_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s2_type11_1) ).
fof(f2_nnf,plain,
( ~ p_1_1
| ~ p_2_2
| p_1_2
| u_2 ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( ~ p_1_1
| ~ p_2_2
| p_1_2
| u_2 ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ p_1_1
| ~ p_2_2
| p_1_2
| u_2 ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p33,plain,
( ~ p_1_1
| p_1_2
| u_2 ),
inference(resolution,[status(thm)],[p32,c2]) ).
cnf(f19,axiom,
( ~ u_10
| p_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_10_t2_1) ).
fof(f19_nnf,plain,
( ~ u_10
| p_1_1 ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
( ~ u_10
| p_1_1 ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( ~ u_10
| p_1_1 ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(f18,axiom,
( p_1_1
| u_10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t2_1) ).
fof(f18_nnf,plain,
( p_1_1
| u_10 ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( p_1_1
| u_10 ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( p_1_1
| u_10 ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p26,plain,
( p_1_1
| p_1_1 ),
inference(resolution,[status(thm)],[c19,c18]) ).
cnf(p30,plain,
p_1_1,
inference(factoring,[status(thm)],[p26]) ).
cnf(p38,plain,
( p_1_2
| u_2 ),
inference(resolution,[status(thm)],[p33,p30]) ).
cnf(f3,axiom,
( ~ u_2
| p_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_2_s2_type11_1) ).
fof(f3_nnf,plain,
( ~ u_2
| p_1_2 ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( ~ u_2
| p_1_2 ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ u_2
| p_1_2 ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p39,plain,
( p_1_2
| p_1_2 ),
inference(resolution,[status(thm)],[p38,c3]) ).
cnf(p41,plain,
p_1_2,
inference(factoring,[status(thm)],[p39]) ).
cnf(f0,negated_conjecture,
( ~ p_1_2
| u_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s2_goal_1) ).
fof(f0_nnf,plain,
( ~ p_1_2
| u_1 ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( ~ p_1_2
| u_1 ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ p_1_2
| u_1 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p42,plain,
u_1,
inference(resolution,[status(thm)],[p41,c0]) ).
cnf(f1,axiom,
~ u_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_1_s2_goal_1) ).
fof(f1_nnf,plain,
~ u_1,
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
~ u_1,
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
~ u_1,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p43,plain,
$false,
inference(resolution,[status(thm)],[p42,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN093-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n011.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 00:09:58 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.59/1.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.59/1.12 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
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