%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN721-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 03:35:33 PM UTC 2026
% Result : Unsatisfiable 5.86s 1.26s
% Output : Proof 5.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 38 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 31 ( 10 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,negated_conjecture,
( ~ r(A,B)
| q(A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1_2) ).
fof(f1_nnf,plain,
! [A,B] :
( ~ r(A,B)
| q(A,A) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,B] :
( ~ r(A,B)
| q(A,A) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ r(X0,X1)
| q(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,negated_conjecture,
ifeq(r(X0,X1),true,q(X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(f0,negated_conjecture,
r(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1_1) ).
fof(f0_nnf,plain,
r(a,b),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
r(a,b),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(hi0,negated_conjecture,
r(a,b) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h0,plain,
q(a,a) = true,
inference(hyper_resolution,[status(thm)],[hi1,hi0]) ).
cnf(f2,negated_conjecture,
( ~ q(A,B)
| r(C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1_3) ).
fof(f2_nnf,plain,
! [C,B,A] :
( ~ q(A,B)
| r(C,B) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [C,B,A] :
( ~ q(A,B)
| r(C,B) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ q(X2,X1)
| r(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,negated_conjecture,
ifeq(q(X0,X1),true,r(X2,X1),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h1,plain,
r(V0,a) = true,
inference(hyper_resolution,[status(thm)],[hi2,h0]) ).
cnf(f3,negated_conjecture,
( ~ r(b,A)
| ~ q(A,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1_4) ).
fof(f3_nnf,plain,
! [A] :
( ~ r(b,A)
| ~ q(A,a) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A] :
( ~ r(b,A)
| ~ q(A,a) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ r(b,X0)
| ~ q(X0,a) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi3,negated_conjecture,
ifeq(q(X0,a),true,ifeq(r(b,X0),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi3,h0,h1]) ).
cnf(t22,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t22]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN721-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 02:14:12 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.86/1.26 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.86/1.26 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------