%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.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 03:41:18 PM UTC 2026
% Result : Unsatisfiable 2.25s 1.40s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 49 ( 32 unt; 7 def)
% Number of atoms : 118 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
fof(f14,negated_conjecture,
! [X0] : p14(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_14) ).
fof(f16,negated_conjecture,
p4(c34,f5(c35,c32)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_16) ).
fof(f17,negated_conjecture,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_17) ).
fof(f18,negated_conjecture,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_18) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_23) ).
fof(f34,negated_conjecture,
! [X0,X1] : p4(f15(f17(c36,X0),f5(c35,X1)),f5(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_34) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p4(X1,X3)
| ~ p14(X0,X2)
| p4(f15(X0,X1),f15(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_41) ).
fof(f46,negated_conjecture,
! [X0,X1] :
( ~ p27(f8(f10(c28,f13(c29,c30)),X0),X1)
| p4(f5(c31,X0),f5(c31,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_46) ).
tcf(c_100,negated_conjecture,
! [X0: $i] : p4(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_109,negated_conjecture,
! [X0: $i] : p14(X0,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_111,negated_conjecture,
p4(c34,f5(c35,c32)),
inference(cnf_transformation,[],[f16]) ).
tcf(c_112,negated_conjecture,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
inference(cnf_transformation,[],[f17]) ).
tcf(c_113,negated_conjecture,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
inference(cnf_transformation,[],[f18]) ).
tcf(c_118,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(X1,X2)
| ~ p4(X0,X2)
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_129,negated_conjecture,
! [X0: $i,X1: $i] : p4(f15(f17(c36,X0),f5(c35,X1)),f5(X0,X1)),
inference(cnf_transformation,[],[f34]) ).
tcf(c_136,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f15(X2,X0),f15(X3,X1))
| ~ p14(X2,X3)
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_141,negated_conjecture,
! [X0: $i,X1: $i] :
( p4(f5(c31,X0),f5(c31,X1))
| ~ p27(f8(f10(c28,f13(c29,c30)),X0),X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_373,definition,
iPr_def_10 = f13(c29,c30),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_374,definition,
iPr_def_11 = f10(c28,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_375,definition,
iPr_def_12 = f5(c31,c33),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_376,definition,
iPr_def_13 = f17(c36,c31),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_377,definition,
iPr_def_14 = f15(iPr_def_13,c34),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_378,definition,
iPr_def_15 = f8(iPr_def_11,c32),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_379,definition,
iPr_def_16 = f5(c35,c32),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_381,negated_conjecture,
! [X0: $i,X1: $i] :
( p4(f5(c31,X0),f5(c31,X1))
| ~ p27(f8(iPr_def_11,X0),X1) ),
inference(demodulation,[status(thm)],[c_141,c_373,c_374]) ).
tcf(c_386,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f15(X2,X0),f15(X3,X1))
| ~ p14(X2,X3)
| ~ p4(X0,X1) ),
inference(demodulation,[status(thm)],[c_136]) ).
tcf(c_393,negated_conjecture,
! [X0: $i,X1: $i] : p4(f15(f17(c36,X0),f5(c35,X1)),f5(X0,X1)),
inference(demodulation,[status(thm)],[c_129]) ).
tcf(c_404,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(X1,X2)
| ~ p4(X0,X2)
| ~ p4(X0,X1) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_409,negated_conjecture,
~ p4(iPr_def_12,iPr_def_14),
inference(demodulation,[status(thm)],[c_113,c_376,c_377,c_375]) ).
tcf(c_410,negated_conjecture,
p27(iPr_def_15,c33),
inference(demodulation,[status(thm)],[c_112,c_378]) ).
tcf(c_411,negated_conjecture,
p4(c34,iPr_def_16),
inference(demodulation,[status(thm)],[c_111,c_379]) ).
tcf(c_413,negated_conjecture,
! [X0: $i] : p14(X0,X0),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_422,negated_conjecture,
! [X0: $i] : p4(X0,X0),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_1190,plain,
! [X0: $i] :
( p4(f5(c31,X0),iPr_def_12)
| ~ p27(f8(iPr_def_11,X0),c33) ),
inference(superposition,[status(thm)],[c_375,c_381]) ).
tcf(c_1198,plain,
! [X0: $i] : p4(f15(iPr_def_13,f5(c35,X0)),f5(c31,X0)),
inference(superposition,[status(thm)],[c_376,c_393]) ).
tcf(c_1247,plain,
! [X0: $i] :
( p4(iPr_def_16,X0)
| ~ p4(c34,X0) ),
inference(superposition,[status(thm)],[c_411,c_404]) ).
tcf(c_1343,plain,
p4(iPr_def_16,c34),
inference(superposition,[status(thm)],[c_422,c_1247]) ).
tcf(c_1355,plain,
p4(f15(iPr_def_13,iPr_def_16),f5(c31,c32)),
inference(superposition,[status(thm)],[c_379,c_1198]) ).
tcf(c_1410,plain,
! [X0: $i,X1: $i] :
( p4(f15(X1,X0),iPr_def_14)
| ~ p14(X1,iPr_def_13)
| ~ p4(X0,c34) ),
inference(superposition,[status(thm)],[c_377,c_386]) ).
tcf(c_1537,plain,
! [X0: $i] :
( p4(f5(c31,c32),X0)
| ~ p4(f15(iPr_def_13,iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_1355,c_404]) ).
tcf(c_1551,plain,
( p4(f5(c31,c32),iPr_def_12)
| ~ p27(iPr_def_15,c33) ),
inference(superposition,[status(thm)],[c_378,c_1190]) ).
tcf(c_1552,plain,
p4(f5(c31,c32),iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_1551,c_410]) ).
tcf(c_1632,plain,
p4(f5(c31,c32),f15(iPr_def_13,iPr_def_16)),
inference(superposition,[status(thm)],[c_422,c_1537]) ).
tcf(c_1639,plain,
! [X0: $i] :
( p4(f15(iPr_def_13,iPr_def_16),X0)
| ~ p4(f5(c31,c32),X0) ),
inference(superposition,[status(thm)],[c_1632,c_404]) ).
tcf(c_1693,plain,
p4(f15(iPr_def_13,iPr_def_16),iPr_def_12),
inference(superposition,[status(thm)],[c_1552,c_1639]) ).
tcf(c_1709,plain,
! [X0: $i] :
( p4(iPr_def_12,X0)
| ~ p4(f15(iPr_def_13,iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_1693,c_404]) ).
tcf(c_2035,plain,
( p4(iPr_def_12,iPr_def_14)
| ~ p14(iPr_def_13,iPr_def_13)
| ~ p4(iPr_def_16,c34) ),
inference(superposition,[status(thm)],[c_1410,c_1709]) ).
tcf(c_2037,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2035,c_409,c_413,c_1343]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.59 % Computer : n015.cluster.edu
% 0.12/0.59 % Model : x86_64 x86_64
% 0.12/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.59 % Memory : 8046.5625MB
% 0.12/0.59 % OS : Linux 6.8.0-71-generic
% 0.12/0.59 % CPULimit : 300
% 0.12/0.59 % WCLimit : 300
% 0.12/0.59 % DateTime : Fri Sep 25 02:02:56 UTC 2026
% 0.12/0.59 % CPUTime :
% 0.12/0.59 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.63 Running first-order theorem proving
% 0.16/0.63 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
% 0.16/0.64
% 0.16/0.64 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.64
% 0.16/0.64 % Detected problem language: tptp
% 0.16/0.66 % Proving...
% 2.25/1.40 % SZS status Started for theBenchmark.p
% 2.25/1.40 % SZS status Unsatisfiable for theBenchmark.p
% 2.25/1.40
% 2.25/1.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.25/1.40
% 2.25/1.40 % ------ iProver source info
% 2.25/1.40
% 2.25/1.40 % git: date: 2026-07-19 20:42:38 +0200
% 2.25/1.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.25/1.40 % git: non_committed_changes: false
% 2.25/1.40
% 2.25/1.40 % ------ Parsing...% successful
% 2.25/1.40
% 2.25/1.40
% 2.25/1.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.25/1.40
% 2.25/1.40 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.25/1.40
% 2.25/1.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.25/1.40
% 2.25/1.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.25/1.40 % ------ Proving...
% 2.25/1.40 % ------ Problem Properties
% 2.25/1.40
% 2.25/1.40 %
% 2.25/1.40 % clauses 54
% 2.25/1.40 % conjectures 47
% 2.25/1.40 % EPR 34
% 2.25/1.40 % Horn 54
% 2.25/1.40 % unary 27
% 2.25/1.40 % binary 1
% 2.25/1.40 % lits 108
% 2.25/1.40 % lits eq 7
% 2.84/1.40 % fd_pure 0
% 2.84/1.40 % fd_pseudo 0
% 2.84/1.40 % fd_cond 0
% 2.84/1.40 % fd_pseudo_cond 0
% 2.84/1.40 % AC symbols 0
% 2.84/1.40
% 2.84/1.40 % ------ Schedule dynamic 5 is on
% 2.84/1.40
% 2.84/1.40 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.84/1.40
% 2.84/1.40
% 2.84/1.40 % ------
% 2.84/1.40 % Current options:
% 2.84/1.40 % ------
% 2.84/1.40
% 2.84/1.40
% 2.84/1.40 %
% 2.84/1.40
% 2.84/1.40 % ------ Proving...
% 2.84/1.40 %
% 2.84/1.40
% 2.84/1.40 % SZS status Unsatisfiable for theBenchmark.p
% 2.84/1.40
% 2.84/1.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.84/1.40
% 2.84/1.40
%------------------------------------------------------------------------------