%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV415+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 : n010.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 03:17:35 PM UTC 2026
% Result : Theorem 3.05s 1.08s
% Output : CNFRefutation 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 42 unt; 5 def)
% Number of atoms : 70 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 104 ( 0 sgn 100 !; 4 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1] : remove_pq(insert_pq(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+1.ax',ax11) ).
fof(f17,axiom,
! [X0,X1,X2] : insert_pq(insert_pq(X0,X1),X2) = insert_pq(insert_pq(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+1.ax',ax17) ).
fof(f42,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/sandbox/benchmark/Axioms/SWV007+3.ax',ax42) ).
fof(f55,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+4.ax',ax55) ).
fof(f63,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main2_l12) ).
fof(f64,conjecture,
! [X0,X1,X2,X3] : i(insert_cpq(triple(X0,X1,X2),X3)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co2) ).
fof(f65,negated_conjecture,
~ ! [X0,X1,X2,X3] : i(insert_cpq(triple(X0,X1,X2),X3)) = insert_pq(i(triple(X0,X1,X2)),X3),
inference(negated_conjecture,[status(cth)],[f64]) ).
fof(f116,plain,
? [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) != i(insert_cpq(triple(X0,X1,X2),X3)),
inference(ennf_transformation,[],[f65]) ).
fof(f126,plain,
insert_pq(i(triple(sK1,sK2,sK3)),sK4) != i(insert_cpq(triple(sK1,sK2,sK3),sK4)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4)],[f116]) ).
fof(f140,plain,
! [X0,X1] : remove_pq(insert_pq(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f11]) ).
fof(f146,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = insert_pq(insert_pq(X0,X2),X1),
inference(cnf_transformation,[],[f17]) ).
fof(f178,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,[],[f42]) ).
fof(f191,plain,
! [X2,X3,X0,X1,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
inference(cnf_transformation,[],[f55]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
inference(cnf_transformation,[],[f63]) ).
fof(f193,plain,
insert_pq(i(triple(sK1,sK2,sK3)),sK4) != i(insert_cpq(triple(sK1,sK2,sK3),sK4)),
inference(cnf_transformation,[],[f126]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : remove_pq(insert_pq(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f140]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] : insert_pq(insert_pq(X0,X1),X2) = insert_pq(insert_pq(X0,X2),X1),
inference(cnf_transformation,[],[f146]) ).
tcf(c_100,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,[],[f178]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = insert_pq(i(triple(X0,X1,X4)),X2),
inference(cnf_transformation,[],[f191]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)),
inference(cnf_transformation,[],[f192]) ).
tcf(c_113,negated_conjecture,
insert_pq(i(triple(sK1,sK2,sK3)),sK4) != i(insert_cpq(triple(sK1,sK2,sK3),sK4)),
inference(cnf_transformation,[],[f193]) ).
tcf(c_1381,definition,
iPr_def_10 = triple(sK1,sK2,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1382,definition,
iPr_def_11 = i(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1383,definition,
iPr_def_12 = insert_pq(iPr_def_11,sK4),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1384,definition,
iPr_def_13 = insert_cpq(iPr_def_10,sK4),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1385,definition,
iPr_def_14 = i(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1386,negated_conjecture,
iPr_def_12 != iPr_def_14,
inference(demodulation,[status(thm)],[c_113,c_1384,c_1385,c_1381,c_1382,c_1383]) ).
tcf(c_2217,plain,
! [X0: $i] : insert_pq(insert_pq(iPr_def_11,X0),sK4) = insert_pq(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_1383,c_68]) ).
tcf(c_2264,plain,
! [X0: $i,X1: $i] : i(triple(X0,sK2,X1)) = i(iPr_def_10),
inference(superposition,[status(thm)],[c_1381,c_112]) ).
tcf(c_2271,plain,
! [X0: $i,X1: $i] : i(triple(X0,sK2,X1)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2264,c_1382]) ).
tcf(c_2303,plain,
! [X0: $i] : remove_pq(insert_pq(iPr_def_12,X0),sK4) = insert_pq(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_2217,c_62]) ).
tcf(c_2367,plain,
insert_pq(iPr_def_11,sK4) = iPr_def_12,
inference(superposition,[status(thm)],[c_62,c_2303]) ).
tcf(c_2849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : i(triple(X0,insert_slb(X1,pair(X2,bottom)),X3)) = i(insert_cpq(triple(X4,X1,X5),X2)),
inference(superposition,[status(thm)],[c_100,c_112]) ).
tcf(c_3004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = insert_pq(i(triple(X5,X1,X6)),X2),
inference(superposition,[status(thm)],[c_111,c_112]) ).
tcf(c_5684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : i(insert_cpq(triple(X0,X1,X2),X3)) = i(insert_cpq(triple(X4,X1,X5),X3)),
inference(superposition,[status(thm)],[c_2849,c_2849]) ).
tcf(c_7080,plain,
! [X0: $i,X1: $i,X2: $i] : i(insert_cpq(triple(X0,sK2,X1),X2)) = i(insert_cpq(iPr_def_10,X2)),
inference(superposition,[status(thm)],[c_1381,c_5684]) ).
tcf(c_7097,plain,
! [X0: $i,X1: $i,X2: $i] : i(triple(X0,insert_slb(sK2,pair(X1,bottom)),X2)) = i(insert_cpq(iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_7080,c_2849]) ).
tcf(c_7505,plain,
! [X0: $i,X1: $i,X2: $i] : insert_pq(i(triple(X0,sK2,X1)),X2) = i(insert_cpq(iPr_def_10,X2)),
inference(superposition,[status(thm)],[c_3004,c_7097]) ).
tcf(c_7545,plain,
! [X0: $i] : i(insert_cpq(iPr_def_10,X0)) = insert_pq(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_7505,c_2271]) ).
tcf(c_8080,plain,
insert_pq(iPr_def_11,sK4) = i(iPr_def_13),
inference(superposition,[status(thm)],[c_1384,c_7545]) ).
tcf(c_8081,plain,
iPr_def_12 = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_8080,c_1385,c_2367]) ).
tcf(c_8082,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8081,c_1386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV415+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 19:31:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 3.05/1.08 % SZS status Started for theBenchmark.p
% 3.05/1.08 % SZS status Theorem for theBenchmark.p
% 3.05/1.08
% 3.05/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.05/1.08
% 3.05/1.08 % ------ iProver source info
% 3.05/1.08
% 3.05/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 3.05/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.05/1.08 % git: non_committed_changes: false
% 3.05/1.08
% 3.05/1.08 % ------ Parsing...
% 3.05/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.05/1.08
% 3.05/1.08 % ------ 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: 5 0s sf_e pe_s pe_e %
% 3.05/1.08
% 3.05/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.05/1.08
% 3.05/1.08 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.05/1.08 % ------ Proving...
% 3.05/1.08 % ------ Problem Properties
% 3.05/1.08
% 3.05/1.08 %
% 3.05/1.08 % clauses 62
% 3.05/1.08 % conjectures 1
% 3.05/1.08 % EPR 8
% 3.05/1.08 % Horn 45
% 3.05/1.08 % unary 29
% 3.05/1.08 % binary 15
% 3.05/1.08 % lits 114
% 3.05/1.08 % lits eq 47
% 3.05/1.08 % fd_pure 0
% 3.05/1.08 % fd_pseudo 0
% 3.05/1.08 % fd_cond 5
% 3.05/1.08 % fd_pseudo_cond 7
% 3.05/1.08 % AC symbols 0
% 3.05/1.08
% 3.05/1.08 % ------ Schedule dynamic 5 is on
% 3.05/1.08
% 3.05/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.05/1.08
% 3.05/1.08
% 3.05/1.08 % ------
% 3.05/1.08 % Current options:
% 3.05/1.08 % ------
% 3.05/1.08
% 3.05/1.08
% 3.05/1.08 %
% 3.05/1.08
% 3.05/1.08 % ------ Proving...
% 3.05/1.08 %
% 3.05/1.08
% 3.05/1.08 % SZS status Theorem for theBenchmark.p
% 3.05/1.08
% 3.05/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.05/1.08
% 3.05/1.08
%------------------------------------------------------------------------------