%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN097-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.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 03:33:48 PM UTC 2026
% Result : Unsatisfiable 3.88s 11.33s
% Output : Proof 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% 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 : 85 ( 43 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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(f28,axiom,
( sym_p_1_1
| sym_p_2_2
| ~ sym_p_1_2
| ~ sym_u_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s2_type11_1) ).
fof(f28_nnf,plain,
( sym_p_1_1
| sym_p_2_2
| ~ sym_p_1_2
| ~ sym_u_2 ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
( sym_p_1_1
| sym_p_2_2
| ~ sym_p_1_2
| ~ sym_u_2 ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( sym_p_1_1
| sym_p_2_2
| ~ sym_p_1_2
| ~ sym_u_2 ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(f29,axiom,
( sym_u_2
| ~ sym_p_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_2_s2_type11_1) ).
fof(f29_nnf,plain,
( sym_u_2
| ~ sym_p_1_2 ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
( sym_u_2
| ~ sym_p_1_2 ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( sym_u_2
| ~ sym_p_1_2 ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(f26,axiom,
( sym_p_1_2
| ~ sym_u_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s2_goal_1) ).
fof(f26_nnf,plain,
( sym_p_1_2
| ~ sym_u_1 ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
( sym_p_1_2
| ~ sym_u_1 ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( sym_p_1_2
| ~ sym_u_1 ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(f27,axiom,
sym_u_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_1_s2_goal_1) ).
fof(f27_nnf,plain,
sym_u_1,
inference(nnf_transformation,[status(thm)],[f27]) ).
cnf(c27,plain,
sym_u_1,
inference(cnf_transformation,[status(esa)],[f27_nnf]) ).
cnf(p56,plain,
sym_p_1_2,
inference(resolution,[status(thm)],[c26,c27]) ).
cnf(p57,plain,
sym_u_2,
inference(resolution,[status(thm)],[c29,p56]) ).
cnf(p59,plain,
( sym_p_1_1
| sym_p_2_2
| ~ sym_p_1_2 ),
inference(resolution,[status(thm)],[c28,p57]) ).
cnf(p69,plain,
( sym_p_1_1
| sym_p_2_2 ),
inference(resolution,[status(thm)],[p59,p56]) ).
cnf(f45,axiom,
( sym_u_10
| ~ sym_p_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_10_t2_1) ).
fof(f45_nnf,plain,
( sym_u_10
| ~ sym_p_1_1 ),
inference(nnf_transformation,[status(thm)],[f45]) ).
fof(f45_sk,plain,
( sym_u_10
| ~ sym_p_1_1 ),
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c45,plain,
( sym_u_10
| ~ sym_p_1_1 ),
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
cnf(p71,plain,
( sym_u_10
| sym_p_2_2 ),
inference(resolution,[status(thm)],[p69,c45]) ).
cnf(f44,axiom,
( ~ sym_p_1_1
| ~ sym_u_10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_t2_1) ).
fof(f44_nnf,plain,
( ~ sym_p_1_1
| ~ sym_u_10 ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
( ~ sym_p_1_1
| ~ sym_u_10 ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
( ~ sym_p_1_1
| ~ sym_u_10 ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p73,plain,
( ~ sym_p_1_1
| sym_p_2_2 ),
inference(resolution,[status(thm)],[p71,c44]) ).
cnf(p76,plain,
( sym_p_2_2
| sym_p_2_2 ),
inference(resolution,[status(thm)],[p73,p69]) ).
cnf(p80,plain,
sym_p_2_2,
inference(factoring,[status(thm)],[p76]) ).
cnf(f49,axiom,
( sym_u_12
| ~ sym_p_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_12_t2_3) ).
fof(f49_nnf,plain,
( sym_u_12
| ~ sym_p_2_2 ),
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
( sym_u_12
| ~ sym_p_2_2 ),
inference(skolemisation,[status(esa)],[f49_nnf]) ).
cnf(c49,plain,
( sym_u_12
| ~ sym_p_2_2 ),
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(p82,plain,
sym_u_12,
inference(resolution,[status(thm)],[p80,c49]) ).
cnf(f48,axiom,
( ~ sym_p_2_2
| ~ sym_u_12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_t2_3) ).
fof(f48_nnf,plain,
( ~ sym_p_2_2
| ~ sym_u_12 ),
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
( ~ sym_p_2_2
| ~ sym_u_12 ),
inference(skolemisation,[status(esa)],[f48_nnf]) ).
cnf(c48,plain,
( ~ sym_p_2_2
| ~ sym_u_12 ),
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
cnf(p84,plain,
~ sym_p_2_2,
inference(resolution,[status(thm)],[p82,c48]) ).
cnf(p85,plain,
$false,
inference(resolution,[status(thm)],[p84,p80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN097-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/10.59 % Computer : n013.cluster.edu
% 0.08/10.59 % Model : x86_64 x86_64
% 0.08/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.59 % Memory : 8046.5625MB
% 0.08/10.59 % OS : Linux 6.8.0-71-generic
% 0.08/10.59 % CPULimit : 300
% 0.08/10.59 % WCLimit : 300
% 0.08/10.59 % DateTime : Fri Sep 25 00:09:49 UTC 2026
% 0.08/10.59 % CPUTime :
% 0.08/10.59 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.88/11.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.88/11.33 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------