%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN553-1 : 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 03:41:04 PM UTC 2026
% Result : Unsatisfiable 2.93s 1.27s
% Output : CNFRefutation 2.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 25 unt; 6 def)
% Number of atoms : 102 ( 6 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 43 ( 23 ~; 20 |; 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 : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f5,negated_conjecture,
! [X0,X1] : p2(f8(X0,X1),f8(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f6,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X0,X2)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
fof(f7,negated_conjecture,
! [X2,X0,X1] : p2(f8(X0,f8(X1,X2)),f8(f8(X0,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f8,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f8(X0,X1),f8(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
fof(f9,negated_conjecture,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_9) ).
tcf(c_58,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i] : p2(f8(X0,X1),f8(X1,X0)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_63,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X0,X2)
| ~ p2(X1,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : p2(f8(X0,f8(X1,X2)),f8(f8(X0,X1),X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f8(X0,X2),f8(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_66,negated_conjecture,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
inference(cnf_transformation,[],[f9]) ).
tcf(c_96,definition,
iPr_def_10 = f9(c4),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_97,definition,
iPr_def_11 = f8(iPr_def_10,c4),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_98,definition,
iPr_def_12 = f9(c3),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_99,definition,
iPr_def_13 = f8(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_100,definition,
iPr_def_14 = f8(iPr_def_12,c4),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_101,definition,
iPr_def_15 = f8(iPr_def_10,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_104,negated_conjecture,
~ p2(iPr_def_13,iPr_def_15),
inference(demodulation,[status(thm)],[c_66,c_100,c_101,c_98,c_96,c_97,c_99]) ).
tcf(c_105,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f8(X0,X2),f8(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_106,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : p2(f8(X0,f8(X1,X2)),f8(f8(X0,X1),X2)),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_107,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X0,X2)
| ~ p2(X1,X2)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_108,negated_conjecture,
! [X0: $i,X1: $i] : p2(f8(X0,X1),f8(X1,X0)),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_112,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f8(X0,f8(X1,X2)),X3)
| ~ p2(f8(f8(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_106,c_107]) ).
tcf(c_316,plain,
p2(iPr_def_13,f8(iPr_def_12,iPr_def_11)),
inference(superposition,[status(thm)],[c_99,c_108]) ).
tcf(c_351,plain,
! [X0: $i] :
( p2(iPr_def_13,X0)
| ~ p2(f8(iPr_def_12,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_316,c_107]) ).
tcf(c_433,plain,
p2(f8(c4,iPr_def_12),iPr_def_14),
inference(superposition,[status(thm)],[c_100,c_108]) ).
tcf(c_462,plain,
! [X0: $i,X1: $i] :
( p2(f8(X0,X1),iPr_def_15)
| ~ p2(X1,iPr_def_14)
| ~ p2(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_101,c_105]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i,X2: $i] : p2(f8(X0,f8(X1,X2)),f8(X2,f8(X0,X1))),
inference(superposition,[status(thm)],[c_108,c_287]) ).
tcf(c_802,plain,
! [X0: $i] : p2(f8(X0,iPr_def_11),f8(c4,f8(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_97,c_635]) ).
tcf(c_972,plain,
p2(iPr_def_13,f8(c4,f8(iPr_def_12,iPr_def_10))),
inference(superposition,[status(thm)],[c_802,c_351]) ).
tcf(c_997,plain,
! [X0: $i] :
( p2(iPr_def_13,X0)
| ~ p2(f8(c4,f8(iPr_def_12,iPr_def_10)),X0) ),
inference(superposition,[status(thm)],[c_972,c_107]) ).
tcf(c_1279,plain,
p2(iPr_def_13,f8(iPr_def_10,f8(c4,iPr_def_12))),
inference(superposition,[status(thm)],[c_635,c_997]) ).
tcf(c_1656,plain,
! [X0: $i] :
( p2(iPr_def_13,X0)
| ~ p2(f8(iPr_def_10,f8(c4,iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_1279,c_107]) ).
tcf(c_3732,plain,
( p2(iPr_def_13,iPr_def_15)
| ~ p2(iPr_def_10,iPr_def_10)
| ~ p2(f8(c4,iPr_def_12),iPr_def_14) ),
inference(superposition,[status(thm)],[c_462,c_1656]) ).
tcf(c_3774,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3732,c_104,c_112,c_433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN553-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 01:44:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 2.93/1.27 % SZS status Started for theBenchmark.p
% 2.93/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.93/1.27
% 2.93/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.93/1.27
% 2.93/1.27 % ------ iProver source info
% 2.93/1.27
% 2.93/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.93/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.93/1.27 % git: non_committed_changes: false
% 2.93/1.27
% 2.93/1.27 % ------ Parsing...% successful
% 2.93/1.27
% 2.93/1.27
% 2.93/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.93/1.27
% 2.93/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.93/1.27
% 2.93/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.93/1.27
% 2.93/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.93/1.27 % ------ Proving...
% 2.93/1.27 % ------ Problem Properties
% 2.93/1.27
% 2.93/1.27 %
% 2.93/1.27 % clauses 17
% 2.93/1.27 % conjectures 9
% 2.93/1.27 % EPR 6
% 2.93/1.27 % Horn 17
% 2.93/1.27 % unary 15
% 2.93/1.27 % binary 0
% 2.93/1.27 % lits 21
% 2.93/1.27 % lits eq 8
% 2.93/1.27 % fd_pure 0
% 2.93/1.27 % fd_pseudo 0
% 2.93/1.27 % fd_cond 0
% 2.93/1.27 % fd_pseudo_cond 0
% 2.93/1.27 % AC symbols 0
% 2.93/1.27
% 2.93/1.27 % ------ Schedule dynamic 5 is on
% 2.93/1.27
% 2.93/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.93/1.27
% 2.93/1.27
% 2.93/1.27 % ------
% 2.93/1.27 % Current options:
% 2.93/1.27 % ------
% 2.93/1.27
% 2.93/1.27
% 2.93/1.27 %
% 2.93/1.27
% 2.93/1.27 % ------ Proving...
% 2.93/1.27 %
% 2.93/1.27
% 2.93/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.93/1.27
% 2.93/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.93/1.27
% 2.93/1.27
%------------------------------------------------------------------------------