%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN000+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 03:38:49 PM UTC 2026
% Result : Theorem 1.03s 1.18s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 90 ( 36 ~; 33 |; 16 &)
% ( 2 <=>; 1 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn 20 !; 12 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( ( ~ q(X0,a)
=> p(X0) )
<=> ? [X1,X2] :
( r(X0,f(X1),g(X0,f(X1),X2))
<~> ~ s(f(f(f(b)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',useful_connectives) ).
fof(f8,axiom,
p(h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',role_hypothesis) ).
fof(f9,conjecture,
? [X0] : p(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',role_conjecture) ).
fof(f10,negated_conjecture,
~ ? [X0] : p(X0),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f21,plain,
! [X0] :
( ( q(X0,a)
| p(X0) )
<=> ? [X1,X2] :
( r(X0,f(X1),g(X0,f(X1),X2))
<~> ~ s(f(f(f(b)))) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f23,plain,
! [X0] : ~ p(X0),
inference(ennf_transformation,[],[f10]) ).
fof(f26,plain,
! [X0] :
( ( ( ~ q(X0,a)
& ~ p(X0) )
| ? [X1,X2] :
( ( r(X0,f(X1),g(X0,f(X1),X2))
| ~ s(f(f(f(b)))) )
& ( ~ r(X0,f(X1),g(X0,f(X1),X2))
| s(f(f(f(b)))) ) ) )
& ( ! [X1,X2] :
( ( ~ r(X0,f(X1),g(X0,f(X1),X2))
| ~ s(f(f(f(b)))) )
& ( s(f(f(f(b))))
| r(X0,f(X1),g(X0,f(X1),X2)) ) )
| q(X0,a)
| p(X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f27,plain,
! [X0] :
( ( ( ~ q(X0,a)
& ~ p(X0) )
| ? [X1,X2] :
( ( r(X0,f(X1),g(X0,f(X1),X2))
| ~ s(f(f(f(b)))) )
& ( ~ r(X0,f(X1),g(X0,f(X1),X2))
| s(f(f(f(b)))) ) ) )
& ( ! [X1,X2] :
( ( ~ r(X0,f(X1),g(X0,f(X1),X2))
| ~ s(f(f(f(b)))) )
& ( s(f(f(f(b))))
| r(X0,f(X1),g(X0,f(X1),X2)) ) )
| q(X0,a)
| p(X0) ) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ( ( ~ q(X0,a)
& ~ p(X0) )
| ? [X3,X4] :
( ( r(X0,f(X3),g(X0,f(X3),X4))
| ~ s(f(f(f(b)))) )
& ( ~ r(X0,f(X3),g(X0,f(X3),X4))
| s(f(f(f(b)))) ) ) )
& ( ! [X1,X2] :
( ( ~ r(X0,f(X1),g(X0,f(X1),X2))
| ~ s(f(f(f(b)))) )
& ( s(f(f(f(b))))
| r(X0,f(X1),g(X0,f(X1),X2)) ) )
| q(X0,a)
| p(X0) ) ),
inference(rectify,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ( ( ~ q(X0,a)
& ~ p(X0) )
| ( ( r(X0,f(sK3(X0)),g(X0,f(sK3(X0)),sK4(X0)))
| ~ s(f(f(f(b)))) )
& ( ~ r(X0,f(sK3(X0)),g(X0,f(sK3(X0)),sK4(X0)))
| s(f(f(f(b)))) ) ) )
& ( ! [X1,X2] :
( ( ~ r(X0,f(X1),g(X0,f(X1),X2))
| ~ s(f(f(f(b)))) )
& ( s(f(f(f(b))))
| r(X0,f(X1),g(X0,f(X1),X2)) ) )
| q(X0,a)
| p(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X3,sK3(X0)),skolemize(X4,sK4(X0))],[f28]) ).
fof(f39,plain,
! [X0] :
( ~ p(X0)
| ~ r(X0,f(sK3(X0)),g(X0,f(sK3(X0)),sK4(X0)))
| s(f(f(f(b)))) ),
inference(cnf_transformation,[],[f29]) ).
fof(f46,plain,
p(h),
inference(cnf_transformation,[],[f8]) ).
fof(f47,plain,
! [X0] : ~ p(X0),
inference(cnf_transformation,[],[f23]) ).
tcf(c_56,plain,
! [X0: $i] :
( s(f(f(f(b))))
| ~ p(X0)
| ~ r(X0,f(sK3(X0)),g(X0,f(sK3(X0)),sK4(X0))) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_64,plain,
p(h),
inference(cnf_transformation,[],[f46]) ).
tcf(c_65,negated_conjecture,
! [X0: $i] : ~ p(X0),
inference(cnf_transformation,[],[f47]) ).
tcf(c_88,plain,
! [X0: $i] : ~ p(X0),
inference(global_subsumption_just,[status(thm)],[c_56,c_65]) ).
tcf(c_96,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_64,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN000+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 23:48:33 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.03/1.18 % SZS status Started for theBenchmark.p
% 1.03/1.18 % SZS status Theorem for theBenchmark.p
% 1.03/1.18
% 1.03/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.03/1.18
% 1.03/1.18 % ------ iProver source info
% 1.03/1.18
% 1.03/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 1.03/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.03/1.18 % git: non_committed_changes: false
% 1.03/1.18
% 1.03/1.18 % ------ Parsing...
% 1.03/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.03/1.18
% 1.03/1.18 % ------ Preprocessing...%
% 1.03/1.18
% 1.03/1.18 % SZS status Theorem for theBenchmark.p
% 1.03/1.18
% 1.03/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.03/1.18
% 1.03/1.18
%------------------------------------------------------------------------------