%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN346-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 03:34:26 PM UTC 2026
% Result : Unsatisfiable 5.79s 1.18s
% Output : Proof 5.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 27 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 18 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-4 aty)
% Number of variables : 28 ( 6 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f2,negated_conjecture,
( ~ f(Y2,z1(Y1,Y2))
| ~ f(Y1,z1(Y1,Y2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f2_nnf,plain,
! [Y1,Y2] :
( ~ f(Y2,z1(Y1,Y2))
| ~ f(Y1,z1(Y1,Y2)) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [Y1,Y2] :
( ~ f(Y2,z1(Y1,Y2))
| ~ f(Y1,z1(Y1,Y2)) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ f(X1,z1(X0,X1))
| ~ f(X0,z1(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,negated_conjecture,
ifeq(f(X0,z1(X0,X1)),true,ifeq(f(X1,z1(X0,X1)),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(f0,negated_conjecture,
f(b,z1(Y1,Y2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f0_nnf,plain,
! [Y1,Y2] : f(b,z1(Y1,Y2)),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [Y1,Y2] : f(b,z1(Y1,Y2)),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
f(b,z1(X0,X1)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,negated_conjecture,
f(b,z1(X0,X1)) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi2,hi0,hi0]) ).
cnf(t15,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f3,negated_conjecture,
( ~ f(Y2,z2(Y1,Y2))
| ~ f(b,z2(Y1,Y2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f3_nnf,plain,
! [Y1,Y2] :
( ~ f(Y2,z2(Y1,Y2))
| ~ f(b,z2(Y1,Y2)) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [Y1,Y2] :
( ~ f(Y2,z2(Y1,Y2))
| ~ f(b,z2(Y1,Y2)) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ f(X1,z2(X0,X1))
| ~ f(b,z2(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c2,c3]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t15]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN346-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 00:55:02 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.79/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.79/1.18 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------