%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV387+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 03:17:31 PM UTC 2026
% Result : Theorem 1.02s 1.28s
% Output : CNFRefutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 12 unt; 2 def)
% Number of atoms : 67 ( 2 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 55 ( 30 ~; 17 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn 31 !; 4 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
=> check_cpq(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_l027) ).
fof(f43,conjecture,
! [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ! [X3] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_co) ).
fof(f44,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ! [X3] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| check_cpq(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| check_cpq(triple(X0,X1,X2)) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
? [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
& ? [X3] :
( ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f92,plain,
( ~ check_cpq(triple(sK0,sK1,sK2))
& ok(remove_cpq(triple(sK0,sK1,sK2),sK3))
& check_cpq(remove_cpq(triple(sK0,sK1,sK2),sK3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f85]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f142,plain,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f92]) ).
fof(f143,plain,
ok(remove_cpq(triple(sK0,sK1,sK2),sK3)),
inference(cnf_transformation,[],[f92]) ).
fof(f144,plain,
check_cpq(remove_cpq(triple(sK0,sK1,sK2),sK3)),
inference(cnf_transformation,[],[f92]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( check_cpq(triple(X0,X1,X2))
| ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_96,negated_conjecture,
check_cpq(remove_cpq(triple(sK0,sK1,sK2),sK3)),
inference(cnf_transformation,[],[f144]) ).
tcf(c_97,negated_conjecture,
ok(remove_cpq(triple(sK0,sK1,sK2),sK3)),
inference(cnf_transformation,[],[f143]) ).
tcf(c_98,negated_conjecture,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f142]) ).
tcf(c_980,definition,
iPr_def_10 = triple(sK0,sK1,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_981,definition,
iPr_def_11 = remove_cpq(iPr_def_10,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_982,negated_conjecture,
~ check_cpq(iPr_def_10),
inference(demodulation,[status(thm)],[c_98,c_980]) ).
tcf(c_983,negated_conjecture,
ok(iPr_def_11),
inference(demodulation,[status(thm)],[c_97,c_981]) ).
tcf(c_984,negated_conjecture,
check_cpq(iPr_def_11),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_2096,plain,
! [X0: $i] :
( check_cpq(triple(sK0,sK1,sK2))
| ~ check_cpq(remove_cpq(iPr_def_10,X0))
| ~ ok(remove_cpq(triple(sK0,sK1,sK2),X0)) ),
inference(superposition,[status(thm)],[c_980,c_95]) ).
tcf(c_2097,plain,
! [X0: $i] :
( check_cpq(iPr_def_10)
| ~ ok(remove_cpq(iPr_def_10,X0))
| ~ check_cpq(remove_cpq(iPr_def_10,X0)) ),
inference(light_normalisation,[status(thm)],[c_2096,c_980]) ).
tcf(c_2098,plain,
! [X0: $i] :
( ~ ok(remove_cpq(iPr_def_10,X0))
| ~ check_cpq(remove_cpq(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2097,c_982]) ).
tcf(c_2115,plain,
( ~ check_cpq(iPr_def_11)
| ~ ok(remove_cpq(iPr_def_10,sK3)) ),
inference(superposition,[status(thm)],[c_981,c_2098]) ).
tcf(c_2116,plain,
( ~ ok(iPr_def_11)
| ~ check_cpq(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_2115,c_981]) ).
tcf(c_2117,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2116,c_983,c_984]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV387+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n026.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 : Thu Sep 24 19:29:39 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
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.02/1.28 % SZS status Started for theBenchmark.p
% 1.02/1.28 % SZS status Theorem for theBenchmark.p
% 1.02/1.28
% 1.02/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.02/1.28
% 1.02/1.28 % ------ iProver source info
% 1.02/1.28
% 1.02/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.02/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.02/1.28 % git: non_committed_changes: false
% 1.02/1.28
% 1.02/1.28 % ------ Parsing...
% 1.02/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.02/1.28
% 1.02/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 1.02/1.28
% 1.02/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.02/1.28
% 1.02/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.02/1.28 % ------ Proving...
% 1.02/1.28 % ------ Problem Properties
% 1.02/1.28
% 1.02/1.28 %
% 1.02/1.28 % clauses 45
% 1.02/1.28 % conjectures 3
% 1.02/1.28 % EPR 9
% 1.02/1.28 % Horn 31
% 1.02/1.28 % unary 20
% 1.02/1.28 % binary 12
% 1.02/1.28 % lits 84
% 1.02/1.29 % lits eq 30
% 1.02/1.29 % fd_pure 0
% 1.02/1.29 % fd_pseudo 0
% 1.02/1.29 % fd_cond 5
% 1.02/1.29 % fd_pseudo_cond 5
% 1.02/1.29 % AC symbols 0
% 1.02/1.29
% 1.02/1.29 % ------ Schedule dynamic 5 is on
% 1.02/1.29
% 1.02/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.02/1.29
% 1.02/1.29
% 1.02/1.29 % ------
% 1.02/1.29 % Current options:
% 1.02/1.29 % ------
% 1.02/1.29
% 1.02/1.29
% 1.02/1.29 %
% 1.02/1.29
% 1.02/1.29 % ------ Proving...
% 1.02/1.29 %
% 1.02/1.29
% 1.02/1.29 % SZS status Theorem for theBenchmark.p
% 1.02/1.29
% 1.02/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.02/1.29
% 1.02/1.29
%------------------------------------------------------------------------------