%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM018+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 : n007.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 01:04:19 PM UTC 2026
% Result : Theorem 1.34s 6.26s
% Output : CNFRefutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 51 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 28 ~; 22 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 18 !; 5 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] :
( ( isTerminating0(X0)
& aRewritingSystem0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ? [X2] : aNormalFormOfIn0(X2,X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermNF) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f16,axiom,
( isTerminating0(xR)
& isLocallyConfluent0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
fof(f22,axiom,
( sdtmndtasgtdt0(xv,xR,xw)
& sdtmndtasgtdt0(xu,xR,xw)
& aElement0(xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
fof(f23,conjecture,
? [X0] : aNormalFormOfIn0(X0,xw,xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f24,negated_conjecture,
~ ? [X0] : aNormalFormOfIn0(X0,xw,xR),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f47,plain,
! [X0] :
( ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ! [X1] :
( ~ aElement0(X1)
| ? [X2] : aNormalFormOfIn0(X2,X1,X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f48,plain,
! [X0] :
( ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ! [X1] :
( ~ aElement0(X1)
| ? [X2] : aNormalFormOfIn0(X2,X1,X0) ) ),
inference(flattening,[],[f47]) ).
fof(f51,plain,
! [X0] : ~ aNormalFormOfIn0(X0,xw,xR),
inference(ennf_transformation,[],[f24]) ).
fof(f79,plain,
! [X0] :
( ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ! [X1] :
( ~ aElement0(X1)
| aNormalFormOfIn0(sK16(X0,X1),X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0,X1))],[f48]) ).
fof(f125,plain,
! [X0,X1] :
( ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| aNormalFormOfIn0(sK16(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f126,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f127,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f16]) ).
fof(f145,plain,
aElement0(xw),
inference(cnf_transformation,[],[f22]) ).
fof(f146,plain,
! [X0] : ~ aNormalFormOfIn0(X0,xw,xR),
inference(cnf_transformation,[],[f51]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( aNormalFormOfIn0(sK16(X1,X0),X0,X1)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_94,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f126]) ).
tcf(c_96,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f127]) ).
tcf(c_111,plain,
aElement0(xw),
inference(cnf_transformation,[],[f145]) ).
tcf(c_114,negated_conjecture,
! [X0: $i] : ~ aNormalFormOfIn0(X0,xw,xR),
inference(cnf_transformation,[],[f146]) ).
tcf(c_1272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ( X1 != xw )
| ( X0 != xR )
| ( sK16(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_93,c_114]) ).
tcf(c_1273,plain,
( ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw) ),
inference(unflattening,[status(thm)],[c_1272]) ).
tcf(c_1274,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1273,c_94,c_96,c_111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM018+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.36 % Computer : n007.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Fri Sep 25 07:47:14 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.39 Running first-order theorem proving
% 0.09/5.39 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
% 0.13/5.41
% 0.13/5.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.41
% 0.13/5.41 % Detected problem language: tptp
% 0.13/5.42 % Proving...
% 1.34/6.26 % SZS status Started for theBenchmark.p
% 1.34/6.26 % SZS status Theorem for theBenchmark.p
% 1.34/6.26
% 1.34/6.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.34/6.26
% 1.34/6.26 % ------ iProver source info
% 1.34/6.26
% 1.34/6.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.34/6.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.34/6.26 % git: non_committed_changes: false
% 1.34/6.26
% 1.34/6.26 % ------ Parsing...
% 1.34/6.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.34/6.26
% 1.34/6.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 1.34/6.26
% 1.34/6.26 % SZS status Theorem for theBenchmark.p
% 1.34/6.26
% 1.34/6.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.34/6.26
% 1.34/6.26
%------------------------------------------------------------------------------