%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN089-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 5.98s 1.36s
% Output : Proof 5.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 18 unt; 0 def)
% Number of atoms : 30 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 14 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,axiom,
( ~ p_1_1
| ~ p_2_2
| p_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_type11_1) ).
fof(f1_nnf,plain,
( ~ p_1_1
| ~ p_2_2
| p_1_2 ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( ~ p_1_1
| ~ p_2_2
| p_1_2 ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ p_1_1
| ~ p_2_2
| p_1_2 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi0,axiom,
ifeq(p_2_2,true,ifeq(p_1_1,true,p_1_2,true),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(f11,axiom,
p_2_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_3) ).
fof(f11_nnf,plain,
p_2_2,
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
p_2_2,
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(hi10,axiom,
p_2_2 = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(f9,axiom,
p_1_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_1) ).
fof(f9_nnf,plain,
p_1_1,
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
p_1_1,
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(hi8,axiom,
p_1_1 = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t1,plain,
true = p_1_2,
inference(hyper_resolution,[status(thm)],[hi0,hi10,hi8]) ).
cnf(t29,plain,
p_1_2 = true,
inference(orient,[status(thm)],[t1]) ).
cnf(f0,negated_conjecture,
~ p_1_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_goal_1) ).
fof(f0_nnf,plain,
~ p_1_2,
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
~ p_1_2,
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
~ p_1_2,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(goal_0,negated_conjecture,
true != p_1_2,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t29]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN089-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 00:09:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.98/1.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.98/1.36 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------