%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN556-1 : 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 : n008.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 03:41:05 PM UTC 2026
% Result : Unsatisfiable 2.56s 1.28s
% Output : CNFRefutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 60 ( 30 unt; 8 def)
% Number of atoms : 195 ( 16 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 135 ( 69 ~; 66 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 84 ( 0 sgn 84 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_2) ).
fof(f3,negated_conjecture,
p2(c10,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
fof(f6,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
fof(f7,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
fof(f8,negated_conjecture,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
fof(f9,negated_conjecture,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_9) ).
fof(f10,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f5(X0,X1),f5(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
fof(f11,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X0,X2)
| ~ p2(X1,X3)
| p2(f8(X0,X1),f8(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
fof(f12,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p2(X0,X3)
| ~ p3(X2,X5)
| ~ p2(X1,X4)
| p3(f4(X0,X1,X2),f4(X3,X4,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_12) ).
tcf(c_61,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,negated_conjecture,
p2(c10,c13),
inference(cnf_transformation,[],[f3]) ).
tcf(c_66,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_67,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_68,negated_conjecture,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_69,negated_conjecture,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_70,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f5(X0,X2),f5(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_71,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f8(X2,X0),f8(X3,X1))
| ~ p3(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_72,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p3(f4(X0,X2,X4),f4(X1,X3,X5))
| ~ p3(X4,X5)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_73,plain,
p3(c11,c11),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_130,definition,
iPr_def_10 = f8(c11,c10),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_131,definition,
iPr_def_11 = f7(c12),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_132,definition,
iPr_def_12 = f6(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_133,definition,
iPr_def_13 = f5(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_134,definition,
iPr_def_14 = f4(c10,iPr_def_13,c11),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_135,definition,
iPr_def_15 = f8(c11,c13),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_136,definition,
iPr_def_16 = f5(iPr_def_15,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_137,definition,
iPr_def_17 = f4(c13,iPr_def_16,c11),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_138,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p3(f4(X0,X2,X4),f4(X1,X3,X5))
| ~ p3(X4,X5)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_139,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f8(X2,X0),f8(X3,X1))
| ~ p3(X2,X3)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_71]) ).
tcf(c_140,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f5(X0,X2),f5(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_141,negated_conjecture,
~ p3(c9,iPr_def_14),
inference(demodulation,[status(thm)],[c_69,c_131,c_132,c_130,c_133,c_134]) ).
tcf(c_142,negated_conjecture,
p3(c9,iPr_def_17),
inference(demodulation,[status(thm)],[c_68,c_135,c_136,c_137]) ).
tcf(c_143,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_144,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_147,negated_conjecture,
p2(c10,c13),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_148,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_149,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(X0,X2)
| ~ p3(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_418,plain,
! [X0: $i] :
( p3(iPr_def_17,X0)
| ~ p3(c9,X0) ),
inference(superposition,[status(thm)],[c_142,c_143]) ).
tcf(c_426,plain,
p3(iPr_def_17,c9),
inference(superposition,[status(thm)],[c_148,c_418]) ).
tcf(c_455,plain,
! [X0: $i] :
( p2(c13,X0)
| ~ p2(c10,X0) ),
inference(superposition,[status(thm)],[c_147,c_144]) ).
tcf(c_474,plain,
! [X0: $i,X1: $i] :
( p2(iPr_def_10,f8(X1,X0))
| ~ p3(c11,X1)
| ~ p2(c10,X0) ),
inference(superposition,[status(thm)],[c_130,c_139]) ).
tcf(c_504,plain,
! [X0: $i,X1: $i] :
( p2(iPr_def_13,f5(X0,X1))
| ~ p2(iPr_def_12,X1)
| ~ p2(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_133,c_140]) ).
tcf(c_565,plain,
p2(c13,c10),
inference(superposition,[status(thm)],[c_149,c_455]) ).
tcf(c_619,plain,
! [X0: $i] :
( p3(c9,iPr_def_14)
| ~ p3(X0,iPr_def_14)
| ~ p3(X0,c9) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_959,plain,
( p3(c9,iPr_def_14)
| ~ p3(iPr_def_17,iPr_def_14)
| ~ p3(iPr_def_17,c9) ),
inference(instantiation,[status(thm)],[c_619]) ).
tcf(c_1053,plain,
! [X0: $i,X1: $i] :
( p3(iPr_def_17,iPr_def_14)
| ~ p3(X1,X0)
| ( iPr_def_17 != X1 )
| ( iPr_def_14 != X0 ) ),
inference(instantiation,[status(thm)],[c_154]) ).
tcf(c_1312,plain,
! [X0: $i] :
( p3(iPr_def_17,iPr_def_14)
| ~ p3(X0,f4(c10,iPr_def_13,c11))
| ( iPr_def_17 != X0 )
| ( iPr_def_14 != f4(c10,iPr_def_13,c11) ) ),
inference(instantiation,[status(thm)],[c_1053]) ).
tcf(c_1760,plain,
( p3(iPr_def_17,iPr_def_14)
| ~ p3(f4(c13,iPr_def_16,c11),f4(c10,iPr_def_13,c11))
| ( iPr_def_17 != f4(c13,iPr_def_16,c11) )
| ( iPr_def_14 != f4(c10,iPr_def_13,c11) ) ),
inference(instantiation,[status(thm)],[c_1312]) ).
tcf(c_2194,plain,
! [X0: $i,X1: $i,X2: $i] :
( p3(f4(X0,X1,X2),f4(c10,iPr_def_13,c11))
| ~ p3(X2,c11)
| ~ p2(X1,iPr_def_13)
| ~ p2(X0,c10) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_2849,plain,
( p3(f4(c13,iPr_def_16,c11),f4(c10,iPr_def_13,c11))
| ~ p3(c11,c11)
| ~ p2(iPr_def_16,iPr_def_13)
| ~ p2(c13,c10) ),
inference(instantiation,[status(thm)],[c_2194]) ).
tcf(c_3284,plain,
( p2(iPr_def_10,iPr_def_15)
| ~ p3(c11,c11)
| ~ p2(c10,c13) ),
inference(superposition,[status(thm)],[c_135,c_474]) ).
tcf(c_3292,plain,
p2(iPr_def_10,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_3284,c_148,c_147]) ).
tcf(c_4016,plain,
( p2(iPr_def_13,iPr_def_16)
| ~ p2(iPr_def_12,iPr_def_12)
| ~ p2(iPr_def_10,iPr_def_15) ),
inference(superposition,[status(thm)],[c_136,c_504]) ).
tcf(c_4023,plain,
p2(iPr_def_13,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_4016,c_149,c_3292]) ).
tcf(c_4138,plain,
! [X0: $i] :
( p2(iPr_def_16,X0)
| ~ p2(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_4023,c_144]) ).
tcf(c_4174,plain,
p2(iPr_def_16,iPr_def_13),
inference(superposition,[status(thm)],[c_149,c_4138]) ).
tcf(c_4180,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4174,c_2849,c_1760,c_959,c_565,c_426,c_141,c_137,c_134,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN556-1 : 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 : n008.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 01:44:27 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 2.56/1.28 % SZS status Started for theBenchmark.p
% 2.56/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.56/1.28
% 2.56/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.56/1.28
% 2.56/1.28 % ------ iProver source info
% 2.56/1.28
% 2.56/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.56/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.56/1.28 % git: non_committed_changes: false
% 2.56/1.28
% 2.56/1.28 % ------ Parsing...% successful
% 2.56/1.28
% 2.56/1.28
% 2.56/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.56/1.28
% 2.56/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.56/1.28
% 2.56/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.56/1.28
% 2.56/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.56/1.28 % ------ Proving...
% 2.56/1.28 % ------ Problem Properties
% 2.56/1.28
% 2.56/1.28 %
% 2.56/1.28 % clauses 20
% 2.56/1.28 % conjectures 12
% 2.56/1.28 % EPR 7
% 2.56/1.28 % Horn 20
% 2.56/1.28 % unary 13
% 2.56/1.28 % binary 2
% 2.56/1.28 % lits 33
% 2.56/1.28 % lits eq 8
% 2.56/1.28 % fd_pure 0
% 2.56/1.28 % fd_pseudo 0
% 2.56/1.28 % fd_cond 0
% 2.56/1.28 % fd_pseudo_cond 0
% 2.56/1.28 % AC symbols 0
% 2.56/1.28
% 2.56/1.28 % ------ Schedule dynamic 5 is on
% 2.56/1.28
% 2.56/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.56/1.28
% 2.56/1.28
% 2.56/1.28 % ------
% 2.56/1.28 % Current options:
% 2.56/1.28 % ------
% 2.56/1.28
% 2.56/1.28
% 2.56/1.28 %
% 2.56/1.28
% 2.56/1.28 % ------ Proving...
% 2.56/1.28 %
% 2.56/1.28
% 2.56/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.56/1.28
% 2.56/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.56/1.28
% 2.56/1.28
%------------------------------------------------------------------------------