%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN281-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.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 03:34:15 PM UTC 2026
% Result : Unsatisfiable 6.21s 1.32s
% Output : Proof 6.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 21 unt; 0 def)
% Number of atoms : 29 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 18 ( 4 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f368,negated_conjecture,
~ q1(X,c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
! [X] : ~ q1(X,c,c),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
! [X] : ~ q1(X,c,c),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ q1(X0,c,c),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(t67,plain,
eq(q1(X1,c,c),true) = efalse,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(t372,plain,
eq(q1(X1,c,c),true) = efalse,
inference(orient,[status(thm)],[t67]) ).
cnf(f132,axiom,
( ~ p0(G,F)
| q1(F,G,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_095) ).
fof(f132_nnf,plain,
! [F,G] :
( ~ p0(G,F)
| q1(F,G,G) ),
inference(nnf_transformation,[status(thm)],[f132]) ).
fof(f132_sk,plain,
! [F,G] :
( ~ p0(G,F)
| q1(F,G,G) ),
inference(skolemisation,[status(esa)],[f132_nnf]) ).
cnf(c132,plain,
( ~ p0(X1,X0)
| q1(X0,X1,X1) ),
inference(cnf_transformation,[status(esa)],[f132_sk]) ).
cnf(hi130,axiom,
ifeq(p0(X0,X1),true,q1(X1,X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c132]) ).
cnf(f17,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f17_nnf,plain,
p0(c,b),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
p0(c,b),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(hi17,axiom,
p0(c,b) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(t57,plain,
q1(b,c,c) = true,
inference(hyper_resolution,[status(thm)],[hi130,hi17]) ).
cnf(t277,plain,
q1(b,c,c) = true,
inference(orient,[status(thm)],[t57]) ).
cnf(t373,plain,
efalse = eq(true,true),
inference(cp,[status(thm)],[t372,t277]) ).
cnf(t0,plain,
eq(X1,X1) = etrue,
introduced(definition) ).
cnf(t371,plain,
eq(X1,X1) = etrue,
inference(orient,[status(thm)],[t0]) ).
cnf(t383,plain,
efalse = etrue,
inference(step,[status(thm)],[t373,t371]) ).
cnf(t374,plain,
efalse = etrue,
inference(orient,[status(thm)],[t383]) ).
cnf(goal_0,negated_conjecture,
etrue != efalse,
introduced(definition) ).
cnf(g0_0,plain,
etrue != etrue,
inference(rw,[status(thm)],[goal_0,t374]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN281-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 00:48:38 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.21/1.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.21/1.32 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------