%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN711-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 03:41:27 PM UTC 2026
% Result : Unsatisfiable 3.05s 1.28s
% Output : CNFRefutation 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 27 ( 20 unt; 8 def)
% Number of atoms : 65 ( 8 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 12 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f25,negated_conjecture,
p42(f16(c62),f16(f7(c46))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p42_25) ).
fof(f26,negated_conjecture,
! [X0,X1] :
( ~ p41(X0,X1)
| p42(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p42_26) ).
fof(f47,negated_conjecture,
! [X2,X0,X1] :
( ~ p42(X2,X1)
| ~ p42(X0,X2)
| p42(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p42_47) ).
fof(f78,negated_conjecture,
~ p42(f16(c62),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p42_78) ).
fof(f80,negated_conjecture,
p41(f16(f7(c46)),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p41_80) ).
tcf(c_162,negated_conjecture,
p42(f16(c62),f16(f7(c46))),
inference(cnf_transformation,[],[f25]) ).
tcf(c_163,negated_conjecture,
! [X0: $i,X1: $i] :
( p42(X0,X1)
| ~ p41(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_184,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p42(X0,X2)
| ~ p42(X1,X2)
| ~ p42(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_215,negated_conjecture,
~ p42(f16(c62),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
inference(cnf_transformation,[],[f78]) ).
tcf(c_217,negated_conjecture,
p41(f16(f7(c46)),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
inference(cnf_transformation,[],[f80]) ).
tcf(c_1118,definition,
iPr_def_273 = f15(iPr_def_115),
introduced(definition,[new_symbols(definition,[iPr_def_273])],[]) ).
tcf(c_1119,definition,
iPr_def_274 = f15(iPr_def_273),
introduced(definition,[new_symbols(definition,[iPr_def_274])],[]) ).
tcf(c_1120,definition,
iPr_def_275 = f15(iPr_def_274),
introduced(definition,[new_symbols(definition,[iPr_def_275])],[]) ).
tcf(c_1121,definition,
iPr_def_276 = f15(iPr_def_275),
introduced(definition,[new_symbols(definition,[iPr_def_276])],[]) ).
tcf(c_1122,definition,
iPr_def_277 = f11(iPr_def_276),
introduced(definition,[new_symbols(definition,[iPr_def_277])],[]) ).
tcf(c_1123,definition,
iPr_def_278 = f14(iPr_def_253,iPr_def_277),
introduced(definition,[new_symbols(definition,[iPr_def_278])],[]) ).
tcf(c_1124,definition,
iPr_def_279 = f13(iPr_def_278),
introduced(definition,[new_symbols(definition,[iPr_def_279])],[]) ).
tcf(c_1128,definition,
iPr_def_283 = f16(c62),
introduced(definition,[new_symbols(definition,[iPr_def_283])],[]) ).
tcf(c_1160,negated_conjecture,
p41(iPr_def_11,iPr_def_279),
inference(demodulation,[status(thm)],[c_217,c_1118,c_1119,c_1120,c_1121,c_1122,c_1123,c_1124]) ).
tcf(c_1162,negated_conjecture,
~ p42(iPr_def_283,iPr_def_279),
inference(demodulation,[status(thm)],[c_215,c_1128]) ).
tcf(c_1187,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p42(X0,X2)
| ~ p42(X1,X2)
| ~ p42(X0,X1) ),
inference(demodulation,[status(thm)],[c_184]) ).
tcf(c_1204,negated_conjecture,
! [X0: $i,X1: $i] :
( p42(X0,X1)
| ~ p41(X0,X1) ),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_1205,negated_conjecture,
p42(iPr_def_283,iPr_def_11),
inference(demodulation,[status(thm)],[c_162]) ).
tcf(c_3361,plain,
p42(iPr_def_11,iPr_def_279),
inference(superposition,[status(thm)],[c_1160,c_1204]) ).
tcf(c_3622,plain,
! [X0: $i] :
( p42(iPr_def_283,X0)
| ~ p42(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_1205,c_1187]) ).
tcf(c_4257,plain,
p42(iPr_def_283,iPr_def_279),
inference(superposition,[status(thm)],[c_3361,c_3622]) ).
tcf(c_4258,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4257,c_1162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN711-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 02:09:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 3.05/1.28 % SZS status Started for theBenchmark.p
% 3.05/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.05/1.28
% 3.05/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.05/1.28
% 3.05/1.28 % ------ iProver source info
% 3.05/1.28
% 3.05/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.05/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.05/1.28 % git: non_committed_changes: false
% 3.05/1.28
% 3.05/1.28 % ------ Parsing...% successful
% 3.05/1.28
% 3.05/1.28
% 3.05/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.05/1.28
% 3.05/1.28 % ------ Preprocessing... sf_s rm: 27 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.05/1.28
% 3.05/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.05/1.28
% 3.05/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.05/1.28 % ------ Proving...
% 3.05/1.28 % ------ Problem Properties
% 3.05/1.28
% 3.05/1.28 %
% 3.05/1.28 % clauses 360
% 3.05/1.28 % conjectures 62
% 3.05/1.28 % EPR 41
% 3.05/1.28 % Horn 360
% 3.05/1.28 % unary 326
% 3.05/1.28 % binary 12
% 3.05/1.28 % lits 422
% 3.05/1.28 % lits eq 298
% 3.05/1.28 % fd_pure 0
% 3.05/1.28 % fd_pseudo 0
% 3.05/1.28 % fd_cond 0
% 3.05/1.28 % fd_pseudo_cond 0
% 3.05/1.28 % AC symbols 0
% 3.05/1.28
% 3.05/1.28 % ------ Schedule dynamic 5 is on
% 3.05/1.28
% 3.05/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.05/1.28
% 3.05/1.28
% 3.05/1.28 % ------
% 3.05/1.28 % Current options:
% 3.05/1.28 % ------
% 3.05/1.28
% 3.05/1.28
% 3.05/1.28 %
% 3.05/1.28
% 3.05/1.28 % ------ Proving...
% 3.05/1.28 %
% 3.05/1.28
% 3.05/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.05/1.28
% 3.05/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.05/1.28
% 3.05/1.28
%------------------------------------------------------------------------------