%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM128+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 01:04:28 PM UTC 2026
% Result : Theorem 3.80s 1.19s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 87 ( 42 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 99 ( 43 ~; 35 |; 12 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 69 !; 4 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1,X2,X3] :
( ( X1 = vvar(X2)
& X0 = X3 )
=> ( ( visFreeVar(X0,X1)
=> X2 = X3 )
& ( X2 = X3
=> visFreeVar(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof(f12,axiom,
! [X0,X1,X2,X3,X4] :
( ( X1 = vapp(X2,X4)
& X0 = X3 )
=> ( ( visFreeVar(X0,X1)
=> ( visFreeVar(X3,X4)
| visFreeVar(X3,X2) ) )
& ( ( visFreeVar(X3,X4)
| visFreeVar(X3,X2) )
=> visFreeVar(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
fof(f28,axiom,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).
fof(f65,conjecture,
! [X0,X1,X2,X3] :
( X3 = vgensym(vapp(vapp(X0,X1),vvar(X2)))
=> X2 != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','fresh-unequal-var-3') ).
fof(f66,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( X3 = vgensym(vapp(vapp(X0,X1),vvar(X2)))
=> X2 != X3 ),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f68,plain,
? [X0,X1,X2,X3] :
( X3 = vgensym(vapp(vapp(X0,X1),vvar(X2)))
& X2 = X3 ),
inference(ennf_transformation,[],[f66]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( vvar(X2) != X1
| X0 != X3
| ( ( ~ visFreeVar(X0,X1)
| X2 = X3 )
& ( X2 != X3
| visFreeVar(X0,X1) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( vvar(X2) != X1
| X0 != X3
| ( ( ~ visFreeVar(X0,X1)
| X2 = X3 )
& ( X2 != X3
| visFreeVar(X0,X1) ) ) ),
inference(flattening,[],[f73]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4] :
( vapp(X2,X4) != X1
| X0 != X3
| ( ( ~ visFreeVar(X0,X1)
| visFreeVar(X3,X4)
| visFreeVar(X3,X2) )
& ( ( ~ visFreeVar(X3,X4)
& ~ visFreeVar(X3,X2) )
| visFreeVar(X0,X1) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f77,plain,
! [X0,X1,X2,X3,X4] :
( vapp(X2,X4) != X1
| X0 != X3
| ( ( ~ visFreeVar(X0,X1)
| visFreeVar(X3,X4)
| visFreeVar(X3,X2) )
& ( ( ~ visFreeVar(X3,X4)
& ~ visFreeVar(X3,X2) )
| visFreeVar(X0,X1) ) ) ),
inference(flattening,[],[f76]) ).
fof(f84,plain,
! [X0,X1] :
( vgensym(X1) != X0
| ~ visFreeVar(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f113,plain,
( sK8 = vgensym(vapp(vapp(sK5,sK6),vvar(sK7)))
& sK7 = sK8 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8)],[f68]) ).
fof(f130,plain,
sK8 = vgensym(vapp(vapp(sK5,sK6),vvar(sK7))),
inference(cnf_transformation,[],[f113]) ).
fof(f131,plain,
sK7 = sK8,
inference(cnf_transformation,[],[f113]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( vvar(X2) != X1
| X0 != X3
| X2 != X3
| visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f141,plain,
! [X2,X3,X0,X1,X4] :
( vapp(X2,X4) != X1
| X0 != X3
| ~ visFreeVar(X3,X4)
| visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f180,plain,
! [X0,X1] :
( vgensym(X1) != X0
| ~ visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f200,plain,
sK8 = vgensym(vapp(vapp(sK5,sK6),vvar(sK8))),
inference(definition_unfolding,[],[f130,f131]) ).
fof(f210,plain,
! [X3,X0,X1] :
( vvar(X3) != X1
| X0 != X3
| visFreeVar(X0,X1) ),
inference(equality_resolution,[],[f135]) ).
fof(f211,plain,
! [X3,X1] :
( vvar(X3) != X1
| visFreeVar(X3,X1) ),
inference(equality_resolution,[],[f210]) ).
fof(f212,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f211]) ).
fof(f218,plain,
! [X2,X3,X1,X4] :
( vapp(X2,X4) != X1
| ~ visFreeVar(X3,X4)
| visFreeVar(X3,X1) ),
inference(equality_resolution,[],[f141]) ).
fof(f219,plain,
! [X2,X3,X4] :
( ~ visFreeVar(X3,X4)
| visFreeVar(X3,vapp(X2,X4)) ),
inference(equality_resolution,[],[f218]) ).
fof(f233,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f180]) ).
tcf(c_49,negated_conjecture,
vgensym(vapp(vapp(sK5,sK6),vvar(sK8))) = sK8,
inference(cnf_transformation,[],[f200]) ).
tcf(c_52,plain,
! [X0: $i] : visFreeVar(X0,vvar(X0)),
inference(cnf_transformation,[],[f212]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( visFreeVar(X0,vapp(X2,X1))
| ~ visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_96,plain,
! [X0: $i] : ~ visFreeVar(vgensym(X0),X0),
inference(cnf_transformation,[],[f233]) ).
tcf(c_8529,plain,
~ visFreeVar(sK8,vapp(vapp(sK5,sK6),vvar(sK8))),
inference(superposition,[status(thm)],[c_49,c_96]) ).
tcf(c_8551,plain,
~ visFreeVar(sK8,vvar(sK8)),
inference(superposition,[status(thm)],[c_58,c_8529]) ).
tcf(c_8552,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8551,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM128+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 07:56:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.80/1.19 % SZS status Started for theBenchmark.p
% 3.80/1.19 % SZS status Theorem for theBenchmark.p
% 3.80/1.19
% 3.80/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.80/1.19
% 3.80/1.19 % ------ iProver source info
% 3.80/1.19
% 3.80/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.80/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.80/1.19 % git: non_committed_changes: false
% 3.80/1.19
% 3.80/1.19 % ------ Parsing...
% 3.80/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.80/1.19
% 3.80/1.19 % ------ Preprocessing... sup_sim: 1 sf_s rm: 7 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.80/1.19
% 3.80/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.80/1.19
% 3.80/1.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.80/1.19 % ------ Proving...
% 3.80/1.19 % ------ Problem Properties
% 3.80/1.19
% 3.80/1.19 %
% 3.80/1.19 % clauses 60
% 3.80/1.19 % conjectures 1
% 3.80/1.19 % EPR 0
% 3.80/1.19 % Horn 51
% 3.80/1.19 % unary 10
% 3.80/1.19 % binary 42
% 3.80/1.19 % lits 130
% 3.80/1.19 % lits eq 63
% 3.80/1.19 % fd_pure 0
% 3.80/1.19 % fd_pseudo 0
% 3.80/1.19 % fd_cond 0
% 3.80/1.19 % fd_pseudo_cond 14
% 3.80/1.19 % AC symbols 0
% 3.80/1.19
% 3.80/1.19 % ------ Schedule dynamic 5 is on
% 3.80/1.19
% 3.80/1.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.80/1.19
% 3.80/1.19
% 3.80/1.19 % ------
% 3.80/1.19 % Current options:
% 3.80/1.19 % ------
% 3.80/1.19
% 3.80/1.19
% 3.80/1.19 %
% 3.80/1.19
% 3.80/1.19 % ------ Proving...
% 3.80/1.19 %
% 3.80/1.19
% 3.80/1.19 % SZS status Theorem for theBenchmark.p
% 3.80/1.19
% 3.80/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/1.19
% 3.80/1.19
%------------------------------------------------------------------------------