%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN370+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 : n019.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 03:39:53 PM UTC 2026
% Result : Theorem 1.10s 1.29s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 15 ( 5 ~; 6 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 13 !; 5 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
! [X1] :
? [X2] :
( ( big_p(X0,X1,f(X1))
| big_p(a,X1,h(X1)) )
=> big_p(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2121) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X1] :
? [X2] :
( ( big_p(X0,X1,f(X1))
| big_p(a,X1,h(X1)) )
=> big_p(X0,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X0] :
? [X1] :
! [X2] :
( ( big_p(X0,X1,f(X1))
| big_p(a,X1,h(X1)) )
& ~ big_p(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0,X2] :
( ( big_p(X0,sK0(X0),f(sK0(X0)))
| big_p(a,sK0(X0),h(sK0(X0))) )
& ~ big_p(X0,sK0(X0),X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f3]) ).
fof(f5,plain,
! [X0] :
( big_p(X0,sK0(X0),f(sK0(X0)))
| big_p(a,sK0(X0),h(sK0(X0))) ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X2,X0] : ~ big_p(X0,sK0(X0),X2),
inference(cnf_transformation,[],[f4]) ).
tcf(c_49,negated_conjecture,
! [X0: $i,X1: $i] : ~ big_p(X0,sK0(X0),X1),
inference(cnf_transformation,[],[f6]) ).
tcf(c_50,negated_conjecture,
! [X0: $i] :
( big_p(a,sK0(X0),h(sK0(X0)))
| big_p(X0,sK0(X0),f(sK0(X0))) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_55,plain,
! [X0: $i] : big_p(a,sK0(X0),h(sK0(X0))),
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_49]) ).
tcf(c_59,plain,
$false,
inference(resolution,[status(thm)],[c_49,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN370+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 01:00:49 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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...
% 1.10/1.29 % SZS status Started for theBenchmark.p
% 1.10/1.29 % SZS status Theorem for theBenchmark.p
% 1.10/1.29
% 1.10/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.10/1.29
% 1.10/1.29 % ------ iProver source info
% 1.10/1.29
% 1.10/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.10/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.10/1.29 % git: non_committed_changes: false
% 1.10/1.29
% 1.10/1.29 % ------ Parsing...
% 1.10/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.10/1.29
% 1.10/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s %
% 1.10/1.29
% 1.10/1.29 % SZS status Theorem for theBenchmark.p
% 1.10/1.29
% 1.10/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.10/1.29
% 1.10/1.29
%------------------------------------------------------------------------------