%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV377+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 03:17:29 PM UTC 2026
% Result : Theorem 3.70s 21.55s
% Output : CNFRefutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 21 unt; 2 def)
% Number of atoms : 50 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 18 ~; 4 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 50 ( 0 sgn 46 !; 4 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax40) ).
fof(f29,axiom,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> X2 = bad ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax41) ).
fof(f30,axiom,
! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax42) ).
fof(f42,conjecture,
! [X0,X1,X2,X3] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l13_co) ).
fof(f43,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f46,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(true_and_false_elimination,[],[f28]) ).
fof(f47,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(flattening,[],[f46]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ok(triple(X0,X1,X2))
| X2 = bad ),
inference(ennf_transformation,[],[f29]) ).
fof(f82,plain,
? [X0,X1,X2,X3] :
( ~ ok(triple(X0,X1,X2))
& ok(insert_cpq(triple(X0,X1,X2),X3)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f89,plain,
( ~ ok(triple(sK0,sK1,sK2))
& ok(insert_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)],[f82]) ).
fof(f124,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f47]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ok(triple(X0,X1,X2))
| bad = X2 ),
inference(cnf_transformation,[],[f69]) ).
fof(f126,plain,
! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
inference(cnf_transformation,[],[f30]) ).
fof(f138,plain,
~ ok(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f89]) ).
fof(f139,plain,
ok(insert_cpq(triple(sK0,sK1,sK2),sK3)),
inference(cnf_transformation,[],[f89]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f124]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ok(triple(X1,X2,X0))
| ( X0 = bad ) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : triple(insert_pqp(X0,X1),insert_slb(X2,pair(X1,bottom)),X3) = insert_cpq(triple(X0,X2,X3),X1),
inference(cnf_transformation,[],[f126]) ).
tcf(c_95,negated_conjecture,
ok(insert_cpq(triple(sK0,sK1,sK2),sK3)),
inference(cnf_transformation,[],[f139]) ).
tcf(c_96,negated_conjecture,
~ ok(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f138]) ).
tcf(c_919,definition,
iPr_def_10 = triple(sK0,sK1,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_920,definition,
iPr_def_11 = insert_cpq(iPr_def_10,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_921,negated_conjecture,
~ ok(iPr_def_10),
inference(demodulation,[status(thm)],[c_96,c_919]) ).
tcf(c_922,negated_conjecture,
ok(iPr_def_11),
inference(demodulation,[status(thm)],[c_95,c_920]) ).
tcf(c_1480,plain,
! [X0: $i,X1: $i,X2: $i] : ~ ok(insert_cpq(triple(X0,X1,bad),X2)),
inference(superposition,[status(thm)],[c_85,c_83]) ).
tcf(c_1489,plain,
( ok(iPr_def_10)
| ( bad = sK2 ) ),
inference(superposition,[status(thm)],[c_919,c_84]) ).
tcf(c_1491,plain,
bad = sK2,
inference(forward_subsumption_resolution,[status(thm)],[c_1489,c_921]) ).
tcf(c_1494,plain,
triple(sK0,sK1,bad) = iPr_def_10,
inference(demodulation,[status(thm)],[c_919,c_1491]) ).
tcf(c_1496,plain,
! [X0: $i] : ~ ok(insert_cpq(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_1494,c_1480]) ).
tcf(c_1500,plain,
~ ok(iPr_def_11),
inference(superposition,[status(thm)],[c_920,c_1496]) ).
tcf(c_1501,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1500,c_922]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV377+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/20.61 % Computer : n020.cluster.edu
% 0.12/20.61 % Model : x86_64 x86_64
% 0.12/20.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/20.61 % Memory : 8046.5625MB
% 0.12/20.61 % OS : Linux 6.8.0-71-generic
% 0.12/20.61 % CPULimit : 300
% 0.12/20.61 % WCLimit : 300
% 0.12/20.61 % DateTime : Thu Sep 24 19:25:56 UTC 2026
% 0.12/20.61 % CPUTime :
% 0.12/20.61 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/20.65 Running first-order theorem proving
% 0.12/20.65 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/20.66
% 0.12/20.66 % ======== iProver multi-core TPTP/SMT =========
% 0.12/20.66
% 0.12/20.66 % Detected problem language: tptp
% 0.12/20.68 % Proving...
% 3.70/21.55 % SZS status Started for theBenchmark.p
% 3.70/21.55 % SZS status Theorem for theBenchmark.p
% 3.70/21.55
% 3.70/21.55 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.70/21.55
% 3.70/21.55 % ------ iProver source info
% 3.70/21.55
% 3.70/21.55 % git: date: 2026-07-19 20:42:38 +0200
% 3.70/21.55 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.70/21.55 % git: non_committed_changes: false
% 3.70/21.55
% 3.70/21.55 % ------ Parsing...
% 3.70/21.55 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.70/21.55
% 3.70/21.55 % ------ 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 %
% 3.70/21.55
% 3.70/21.55 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.70/21.55
% 3.70/21.55 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.70/21.55 % ------ Proving...
% 3.70/21.55 % ------ Problem Properties
% 3.70/21.55
% 3.70/21.55 %
% 3.70/21.55 % clauses 43
% 3.70/21.55 % conjectures 2
% 3.70/21.55 % EPR 8
% 3.70/21.55 % Horn 29
% 3.70/21.55 % unary 19
% 3.70/21.55 % binary 12
% 3.70/21.55 % lits 80
% 3.70/21.55 % lits eq 30
% 3.70/21.55 % fd_pure 0
% 3.70/21.55 % fd_pseudo 0
% 3.70/21.55 % fd_cond 5
% 3.70/21.55 % fd_pseudo_cond 5
% 3.70/21.55 % AC symbols 0
% 3.70/21.55
% 3.70/21.55 % ------ Schedule dynamic 5 is on
% 3.70/21.55
% 3.70/21.55 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.70/21.55
% 3.70/21.55
% 3.70/21.55 % ------
% 3.70/21.55 % Current options:
% 3.70/21.55 % ------
% 3.70/21.55
% 3.70/21.55
% 3.70/21.55 %
% 3.70/21.55
% 3.70/21.55 % ------ Proving...
% 3.70/21.55 %
% 3.70/21.55
% 3.70/21.55 % SZS status Theorem for theBenchmark.p
% 3.70/21.55
% 3.70/21.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.70/21.55
% 3.70/21.55
%------------------------------------------------------------------------------