%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN919+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.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 03:36:19 PM UTC 2026
% Result : Theorem 4.11s 0.92s
% Output : Proof 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 44 ( 8 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 42 ( 15 ~; 9 |; 10 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 34 ( 0 sgn 22 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ( ! [X,Y,Z] :
( ( r(Y,Z)
& r(X,Y) )
=> r(X,Z) )
& ! [X,Y] :
( r(X,Y)
=> r(Y,X) ) )
=> ! [X,Y] :
( r(X,Y)
=> r(X,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f0_neg,negated_conjecture,
~ ( ( ! [X,Y,Z] :
( ( r(Y,Z)
& r(X,Y) )
=> r(X,Z) )
& ! [X,Y] :
( r(X,Y)
=> r(Y,X) ) )
=> ! [X,Y] :
( r(X,Y)
=> r(X,X) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ? [X,Y] :
( ~ r(X,X)
& r(X,Y) )
& ! [X,Y,Z] :
( r(X,Z)
| ~ r(Y,Z)
| ~ r(X,Y) )
& ! [X,Y] :
( r(Y,X)
| ~ r(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X,Y,Z] :
( ~ r(sk0,sk0)
& r(sk0,sk1)
& ( r(X,Z)
| ~ r(Y,Z)
| ~ r(X,Y) )
& ( r(Y,X)
| ~ r(X,Y) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c0,plain,
( r(X1,X0)
| ~ r(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,negated_conjecture,
ifeq(r(X0,X1),true,r(X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(c2,plain,
r(sk0,sk1),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi2,negated_conjecture,
r(sk0,sk1) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h0,plain,
r(sk1,sk0) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi2]) ).
cnf(c1,plain,
( r(X0,X2)
| ~ r(X1,X2)
| ~ r(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi1,negated_conjecture,
ifeq(r(X0,X1),true,ifeq(r(X1,X2),true,r(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t0,plain,
r(sk0,sk0) = true,
inference(hyper_resolution,[status(thm)],[hi1,hi2,h0]) ).
cnf(t7,plain,
r(sk0,sk0) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(c3,plain,
~ r(sk0,sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(goal_0,negated_conjecture,
r(sk0,sk0) != true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t7]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN919+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n013.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 02:33:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.11/0.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.11/0.92 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------