%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN098-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 3.53s 6.19s
% Output : Proof 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 77 ( 12 unt; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 160 ( 64 ~; 96 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f27,axiom,
( ~ u_14
| p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_14_t3_1) ).
fof(f27_nnf,plain,
( ~ u_14
| p_2 ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
( ~ u_14
| p_2 ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( ~ u_14
| p_2 ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(f26,axiom,
( p_2
| u_14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_1) ).
fof(f26_nnf,plain,
( p_2
| u_14 ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
( p_2
| u_14 ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( p_2
| u_14 ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p68,plain,
( p_2
| p_2 ),
inference(resolution,[status(thm)],[c27,c26]) ).
cnf(p72,plain,
p_2,
inference(factoring,[status(thm)],[p68]) ).
cnf(f6,axiom,
( ~ p_3
| ~ p_2
| p_1
| u_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_3) ).
fof(f6_nnf,plain,
( ~ p_3
| ~ p_2
| p_1
| u_4 ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( ~ p_3
| ~ p_2
| p_1
| u_4 ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ p_3
| ~ p_2
| p_1
| u_4 ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p73,plain,
( ~ p_3
| p_1
| u_4 ),
inference(resolution,[status(thm)],[p72,c6]) ).
cnf(f29,axiom,
( ~ u_15
| p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_15_t3_2) ).
fof(f29_nnf,plain,
( ~ u_15
| p_3 ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
( ~ u_15
| p_3 ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( ~ u_15
| p_3 ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(f28,axiom,
( p_3
| u_15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_2) ).
fof(f28_nnf,plain,
( p_3
| u_15 ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
( p_3
| u_15 ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( p_3
| u_15 ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p69,plain,
( p_3
| p_3 ),
inference(resolution,[status(thm)],[c29,c28]) ).
cnf(p76,plain,
p_3,
inference(factoring,[status(thm)],[p69]) ).
cnf(p85,plain,
( p_1
| u_4 ),
inference(resolution,[status(thm)],[p73,p76]) ).
cnf(f7,axiom,
( ~ u_4
| p_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_4_s3_type11_3) ).
fof(f7_nnf,plain,
( ~ u_4
| p_1 ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( ~ u_4
| p_1 ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ u_4
| p_1 ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p86,plain,
( p_1
| p_1 ),
inference(resolution,[status(thm)],[p85,c7]) ).
cnf(p87,plain,
p_1,
inference(factoring,[status(thm)],[p86]) ).
cnf(f10,axiom,
( ~ q_2
| ~ p_1
| q_0
| u_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_1) ).
fof(f10_nnf,plain,
( ~ q_2
| ~ p_1
| q_0
| u_6 ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
( ~ q_2
| ~ p_1
| q_0
| u_6 ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( ~ q_2
| ~ p_1
| q_0
| u_6 ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p89,plain,
( ~ q_2
| q_0
| u_6 ),
inference(resolution,[status(thm)],[p87,c10]) ).
cnf(f31,axiom,
( ~ u_16
| q_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_16_t3_3) ).
fof(f31_nnf,plain,
( ~ u_16
| q_2 ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
( ~ u_16
| q_2 ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
( ~ u_16
| q_2 ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(f30,axiom,
( q_2
| u_16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_3) ).
fof(f30_nnf,plain,
( q_2
| u_16 ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
( q_2
| u_16 ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( q_2
| u_16 ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p70,plain,
( q_2
| q_2 ),
inference(resolution,[status(thm)],[c31,c30]) ).
cnf(p77,plain,
q_2,
inference(factoring,[status(thm)],[p70]) ).
cnf(p100,plain,
( q_0
| u_6 ),
inference(resolution,[status(thm)],[p89,p77]) ).
cnf(f11,axiom,
( ~ u_6
| q_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_6_s3_type12_1) ).
fof(f11_nnf,plain,
( ~ u_6
| q_0 ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( ~ u_6
| q_0 ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( ~ u_6
| q_0 ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p101,plain,
( q_0
| q_0 ),
inference(resolution,[status(thm)],[p100,c11]) ).
cnf(p102,plain,
q_0,
inference(factoring,[status(thm)],[p101]) ).
cnf(f2,axiom,
( ~ p_2
| ~ p_1
| p_0
| u_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_1) ).
fof(f2_nnf,plain,
( ~ p_2
| ~ p_1
| p_0
| u_2 ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( ~ p_2
| ~ p_1
| p_0
| u_2 ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ p_2
| ~ p_1
| p_0
| u_2 ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p88,plain,
( ~ p_2
| p_0
| u_2 ),
inference(resolution,[status(thm)],[p87,c2]) ).
cnf(p95,plain,
( p_0
| u_2 ),
inference(resolution,[status(thm)],[p88,p72]) ).
cnf(f3,axiom,
( ~ u_2
| p_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_2_s3_type11_1) ).
fof(f3_nnf,plain,
( ~ u_2
| p_0 ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( ~ u_2
| p_0 ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ u_2
| p_0 ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p96,plain,
( p_0
| p_0 ),
inference(resolution,[status(thm)],[p95,c3]) ).
cnf(p97,plain,
p_0,
inference(factoring,[status(thm)],[p96]) ).
cnf(f0,negated_conjecture,
( ~ q_0
| ~ p_0
| u_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_goal_1) ).
fof(f0_nnf,plain,
( ~ q_0
| ~ p_0
| u_1 ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( ~ q_0
| ~ p_0
| u_1 ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ q_0
| ~ p_0
| u_1 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p98,plain,
( ~ q_0
| u_1 ),
inference(resolution,[status(thm)],[p97,c0]) ).
cnf(p104,plain,
u_1,
inference(resolution,[status(thm)],[p102,p98]) ).
cnf(f1,axiom,
~ u_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_1_s3_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(p105,plain,
$false,
inference(resolution,[status(thm)],[p104,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN098-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.37 % Computer : n008.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Fri Sep 25 00:11:00 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.53/6.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.53/6.19 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------