%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN360+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 03:39:51 PM UTC 2026
% Result : Theorem 1.08s 1.28s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 15 ~; 6 |; 11 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 55 ( 0 sgn 40 !; 15 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X2] :
? [X1] : big_p(X2,X1)
& ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X1] : big_q(X0,X1) ) )
=> ! [X1,X0] : big_q(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2111) ).
fof(f2,negated_conjecture,
~ ( ( ! [X2] :
? [X1] : big_p(X2,X1)
& ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X1] : big_q(X0,X1) ) )
=> ! [X1,X0] : big_q(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ! [X3] :
? [X4] : big_p(X3,X4)
& ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X2] : big_q(X0,X2) ) )
=> ! [X5,X6] : big_q(X6,X5) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ! [X3] :
? [X4] : big_p(X3,X4)
& ! [X0] :
( ! [X1] : ~ big_p(X0,X1)
| ! [X2] : big_q(X0,X2) )
& ? [X5,X6] : ~ big_q(X6,X5) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ! [X3] :
? [X4] : big_p(X3,X4)
& ! [X0] :
( ! [X1] : ~ big_p(X0,X1)
| ! [X2] : big_q(X0,X2) )
& ? [X5,X6] : ~ big_q(X6,X5) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ! [X5] :
? [X6] : big_p(X5,X6)
& ! [X2] :
( ! [X4] : ~ big_p(X2,X4)
| ! [X3] : big_q(X2,X3) )
& ? [X0,X1] : ~ big_q(X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ! [X5] : big_p(X5,sK2(X5))
& ! [X2] :
( ! [X4] : ~ big_p(X2,X4)
| ! [X3] : big_q(X2,X3) )
& ~ big_q(sK1,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X6,sK2(X5))],[f6]) ).
fof(f8,plain,
! [X5] : big_p(X5,sK2(X5)),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X2,X3,X4] :
( ~ big_p(X2,X4)
| big_q(X2,X3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
~ big_q(sK1,sK0),
inference(cnf_transformation,[],[f7]) ).
tcf(c_49,negated_conjecture,
~ big_q(sK1,sK0),
inference(cnf_transformation,[],[f10]) ).
tcf(c_50,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_q(X0,X2)
| ~ big_p(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] : big_p(X0,sK2(X0)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_62,plain,
! [X0: $i] : ~ big_p(sK1,X0),
inference(resolution,[status(thm)],[c_49,c_50]) ).
tcf(c_68,plain,
$false,
inference(resolution,[status(thm)],[c_51,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN360+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 01:00:19 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 1.08/1.28 % SZS status Started for theBenchmark.p
% 1.08/1.28 % SZS status Theorem for theBenchmark.p
% 1.08/1.28
% 1.08/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.08/1.28
% 1.08/1.28 % ------ iProver source info
% 1.08/1.28
% 1.08/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.08/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.08/1.28 % git: non_committed_changes: false
% 1.08/1.28
% 1.08/1.28 % ------ Parsing...
% 1.08/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.08/1.28
% 1.08/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s%
% 1.08/1.28
% 1.08/1.28 % SZS status Theorem for theBenchmark.p
% 1.08/1.28
% 1.08/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.08/1.28
% 1.08/1.28
%------------------------------------------------------------------------------