%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN626-1 : 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 : n014.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 03:41:15 PM UTC 2026
% Result : Unsatisfiable 2.50s 1.29s
% Output : CNFRefutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 21 unt; 5 def)
% Number of atoms : 94 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 31 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f3,negated_conjecture,
! [X0] : p6(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_3) ).
fof(f8,negated_conjecture,
! [X0,X1] :
( ~ p15(X0,X1)
| p16(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_8) ).
fof(f9,negated_conjecture,
p15(c22,f8(f5(c20),f9(c23,c24))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_9) ).
fof(f15,negated_conjecture,
! [X0] :
( ~ p16(c22,X0)
| p7(f12(f13(X0)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_15) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_17) ).
fof(f24,negated_conjecture,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_24) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p15(X2,X3)
| ~ p7(X3,X1)
| ~ p6(X2,X0)
| p15(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_31) ).
tcf(c_85,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_86,negated_conjecture,
! [X0: $i] : p6(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_91,negated_conjecture,
! [X0: $i,X1: $i] :
( p16(X0,X1)
| ~ p15(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_92,negated_conjecture,
p15(c22,f8(f5(c20),f9(c23,c24))),
inference(cnf_transformation,[],[f9]) ).
tcf(c_98,negated_conjecture,
! [X0: $i] :
( p7(f12(f13(X0)),X0)
| ~ p16(c22,X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_100,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p7(X1,X2)
| ~ p7(X0,X2)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_107,negated_conjecture,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
inference(cnf_transformation,[],[f24]) ).
tcf(c_114,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p15(X3,X1)
| ~ p15(X2,X0)
| ~ p6(X2,X3)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_121,plain,
p6(c22,c22),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_608,definition,
iPr_def_10 = f5(c20),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_609,definition,
iPr_def_11 = f9(c23,c24),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_610,definition,
iPr_def_12 = f8(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_611,definition,
iPr_def_13 = f13(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_612,definition,
iPr_def_14 = f12(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_615,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p15(X3,X1)
| ~ p15(X2,X0)
| ~ p6(X2,X3)
| ~ p7(X0,X1) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_621,negated_conjecture,
~ p15(c22,iPr_def_14),
inference(demodulation,[status(thm)],[c_107,c_609,c_608,c_610,c_611,c_612]) ).
tcf(c_627,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p7(X1,X2)
| ~ p7(X0,X2)
| ~ p7(X0,X1) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_629,negated_conjecture,
! [X0: $i] :
( p7(f12(f13(X0)),X0)
| ~ p16(c22,X0) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_634,negated_conjecture,
p15(c22,iPr_def_12),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_635,negated_conjecture,
! [X0: $i,X1: $i] :
( p16(X0,X1)
| ~ p15(X0,X1) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_639,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_1345,plain,
p16(c22,iPr_def_12),
inference(superposition,[status(thm)],[c_634,c_635]) ).
tcf(c_1351,plain,
( p7(f12(iPr_def_13),iPr_def_12)
| ~ p16(c22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_611,c_629]) ).
tcf(c_1352,plain,
( p7(iPr_def_14,iPr_def_12)
| ~ p16(c22,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_1351,c_612]) ).
tcf(c_1353,plain,
p7(iPr_def_14,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_1352,c_1345]) ).
tcf(c_1452,plain,
! [X0: $i] :
( p7(iPr_def_12,X0)
| ~ p7(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_1353,c_627]) ).
tcf(c_1803,plain,
p7(iPr_def_12,iPr_def_14),
inference(superposition,[status(thm)],[c_639,c_1452]) ).
tcf(c_1813,plain,
! [X0: $i,X1: $i] :
( p15(X1,iPr_def_14)
| ~ p15(X0,iPr_def_12)
| ~ p6(X0,X1) ),
inference(superposition,[status(thm)],[c_1803,c_615]) ).
tcf(c_1833,plain,
( p15(c22,iPr_def_14)
| ~ p15(c22,iPr_def_12)
| ~ p6(c22,c22) ),
inference(instantiation,[status(thm)],[c_1813]) ).
tcf(c_1834,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1833,c_634,c_621,c_121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN626-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 01:55:02 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 0.15/0.43
% 0.15/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.43
% 0.15/0.43 % Detected problem language: tptp
% 0.15/0.44 % Proving...
% 2.50/1.29 % SZS status Started for theBenchmark.p
% 2.50/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.50/1.29
% 2.50/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.50/1.29
% 2.50/1.29 % ------ iProver source info
% 2.50/1.29
% 2.50/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.50/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.50/1.29 % git: non_committed_changes: false
% 2.50/1.29
% 2.50/1.29 % ------ Parsing...% successful
% 2.50/1.29
% 2.50/1.29
% 2.50/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.50/1.29
% 2.50/1.29 % ------ Preprocessing... sf_s rm: 7 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.50/1.29
% 2.50/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.50/1.29
% 2.50/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.50/1.29 % ------ Proving...
% 2.50/1.29 % ------ Problem Properties
% 2.50/1.29
% 2.50/1.29 %
% 2.50/1.29 % clauses 33
% 2.50/1.29 % conjectures 28
% 2.50/1.29 % EPR 20
% 2.50/1.29 % Horn 32
% 2.50/1.29 % unary 12
% 2.50/1.29 % binary 6
% 2.50/1.29 % lits 75
% 2.50/1.29 % lits eq 5
% 2.50/1.29 % fd_pure 0
% 2.50/1.29 % fd_pseudo 0
% 2.50/1.29 % fd_cond 0
% 2.50/1.29 % fd_pseudo_cond 0
% 2.50/1.29 % AC symbols 0
% 2.50/1.29
% 2.50/1.29 % ------ Schedule dynamic 5 is on
% 2.50/1.29
% 2.50/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.50/1.29
% 2.50/1.29
% 2.50/1.29 % ------
% 2.50/1.29 % Current options:
% 2.50/1.29 % ------
% 2.50/1.29
% 2.50/1.29
% 2.50/1.29 %
% 2.50/1.29
% 2.50/1.29 % ------ Proving...
% 2.50/1.29 %
% 2.50/1.29
% 2.50/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.50/1.29
% 2.50/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.50/1.29
% 2.50/1.29
%------------------------------------------------------------------------------