%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWB002+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 03:03:39 PM UTC 2026
% Result : Theorem 0.15s 5.94s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 26 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 3 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 14 ( 0 sgn 4 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
? [BNODE_x,BNODE_y] :
( iext(uri_ex_q,BNODE_y,BNODE_x)
& iext(uri_ex_p,BNODE_x,BNODE_y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_002_Existential_Blank_Nodes) ).
fof(f0_neg,negated_conjecture,
~ ? [BNODE_x,BNODE_y] :
( iext(uri_ex_q,BNODE_y,BNODE_x)
& iext(uri_ex_p,BNODE_x,BNODE_y) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
! [BNODE_x,BNODE_y] :
( ~ iext(uri_ex_q,BNODE_y,BNODE_x)
| ~ iext(uri_ex_p,BNODE_x,BNODE_y) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [BNODE_x,BNODE_y] :
( ~ iext(uri_ex_q,BNODE_y,BNODE_x)
| ~ iext(uri_ex_p,BNODE_x,BNODE_y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ iext(uri_ex_q,X1,X0)
| ~ iext(uri_ex_p,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi2,negated_conjecture,
ifeq(iext(uri_ex_p,X0,X1),true,ifeq(iext(uri_ex_q,X1,X0),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
fof(f1,axiom,
? [BNODE_o] :
( iext(uri_ex_q,BNODE_o,uri_ex_s)
& iext(uri_ex_p,uri_ex_s,BNODE_o) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_002_Existential_Blank_Nodes) ).
fof(f1_nnf,plain,
? [BNODE_o] :
( iext(uri_ex_q,BNODE_o,uri_ex_s)
& iext(uri_ex_p,uri_ex_s,BNODE_o) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( iext(uri_ex_q,sk0,uri_ex_s)
& iext(uri_ex_p,uri_ex_s,sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f1_nnf]) ).
cnf(c1,plain,
iext(uri_ex_p,uri_ex_s,sk0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi0,axiom,
iext(uri_ex_p,uri_ex_s,sk0) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(c2,plain,
iext(uri_ex_q,sk0,uri_ex_s),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,axiom,
iext(uri_ex_q,sk0,uri_ex_s) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi2,hi0,hi1]) ).
cnf(t11,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t11]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB002+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.38 % Computer : n013.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Thu Sep 24 15:17:48 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/5.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.94 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------