%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN336-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n007.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 03:34:24 PM UTC 2026
% Result : Unsatisfiable 0.13s 10.81s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 8 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f4,negated_conjecture,
~ f(z(Y1,Y2),Y2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f4_nnf,plain,
! [Y1,Y2] : ~ f(z(Y1,Y2),Y2),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [Y1,Y2] : ~ f(z(Y1,Y2),Y2),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
~ f(z(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t5,plain,
eq(f(z(X1,X2),X2),true) = efalse,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t11,plain,
eq(f(z(X1,X2),X2),true) = efalse,
inference(orient,[status(thm)],[t5]) ).
cnf(f3,negated_conjecture,
f(Y1,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f3_nnf,plain,
! [Y1] : f(Y1,a),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [Y1] : f(Y1,a),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
f(X0,a),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t1,plain,
f(X1,a) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t8,plain,
f(X1,a) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t12,plain,
efalse = eq(true,true),
inference(cp,[status(thm)],[t11,t8]) ).
cnf(t0,plain,
eq(X1,X1) = etrue,
introduced(definition) ).
cnf(t10,plain,
eq(X1,X1) = etrue,
inference(orient,[status(thm)],[t0]) ).
cnf(t16,plain,
efalse = etrue,
inference(step,[status(thm)],[t12,t10]) ).
cnf(t13,plain,
efalse = etrue,
inference(orient,[status(thm)],[t16]) ).
cnf(goal_0,negated_conjecture,
etrue != efalse,
introduced(definition) ).
cnf(g0_0,plain,
etrue != etrue,
inference(rw,[status(thm)],[goal_0,t13]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN336-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/10.37 % Computer : n007.cluster.edu
% 0.10/10.37 % Model : x86_64 x86_64
% 0.10/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37 % Memory : 8046.5625MB
% 0.10/10.37 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Fri Sep 25 00:51:34 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/10.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/10.81 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------