%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN603-1 : 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 : n012.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 03:41:12 PM UTC 2026
% Result : Unsatisfiable 0.60s 0.97s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 26 unt; 5 def)
% Number of atoms : 131 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 82 ( 47 ~; 35 |; 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 : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
fof(f3,negated_conjecture,
p15(c22,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_3) ).
fof(f5,negated_conjecture,
p2(c22,f9(c20,c23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f6,negated_conjecture,
p2(f3(f4(c16)),c17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
fof(f19,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).
fof(f21,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f6(X0,X1),f6(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_21) ).
fof(f26,negated_conjecture,
! [X0,X1] :
( ~ p2(f7(f8(c21,X0),c20),f6(f5(f4(c16)),c17))
| ~ p2(X0,f9(c20,X1))
| ~ p15(X0,c21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_26) ).
tcf(c_80,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_81,negated_conjecture,
p15(c22,c21),
inference(cnf_transformation,[],[f3]) ).
tcf(c_83,negated_conjecture,
p2(c22,f9(c20,c23)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_84,negated_conjecture,
p2(f3(f4(c16)),c17),
inference(cnf_transformation,[],[f6]) ).
tcf(c_92,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_97,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
inference(cnf_transformation,[],[f19]) ).
tcf(c_99,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f6(X0,X2),f6(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p15(X0,c21)
| ~ p2(X0,f9(c20,X1))
| ~ p2(f7(f8(c21,X0),c20),f6(f5(f4(c16)),c17)) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_377,definition,
iPr_def_13 = f6(iPr_def_11,c17),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_378,definition,
iPr_def_14 = f8(c21,c22),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_379,definition,
iPr_def_15 = f7(iPr_def_14,c20),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_380,definition,
iPr_def_16 = f6(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_381,definition,
iPr_def_17 = f9(c20,c23),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_385,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p15(X0,c21)
| ~ p2(X0,f9(c20,X1))
| ~ p2(f7(f8(c21,X0),c20),iPr_def_13) ),
inference(demodulation,[status(thm)],[c_104,c_377]) ).
tcf(c_388,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f6(X0,X2),f6(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_390,negated_conjecture,
p2(iPr_def_15,iPr_def_16),
inference(demodulation,[status(thm)],[c_97,c_380,c_378,c_379]) ).
tcf(c_392,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_398,negated_conjecture,
p2(iPr_def_12,c17),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_399,negated_conjecture,
p2(c22,iPr_def_17),
inference(demodulation,[status(thm)],[c_83,c_381]) ).
tcf(c_401,negated_conjecture,
p15(c22,c21),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_402,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_1091,plain,
! [X0: $i] :
( ~ p15(c22,c21)
| ~ p2(f7(iPr_def_14,c20),iPr_def_13)
| ~ p2(c22,f9(c20,X0)) ),
inference(superposition,[status(thm)],[c_378,c_385]) ).
tcf(c_1092,plain,
! [X0: $i] :
( ~ p15(c22,c21)
| ~ p2(iPr_def_15,iPr_def_13)
| ~ p2(c22,f9(c20,X0)) ),
inference(light_normalisation,[status(thm)],[c_1091,c_379]) ).
tcf(c_1093,plain,
! [X0: $i] :
( ~ p2(iPr_def_15,iPr_def_13)
| ~ p2(c22,f9(c20,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1092,c_401]) ).
tcf(c_1398,plain,
( ~ p2(iPr_def_15,iPr_def_13)
| ~ p2(c22,iPr_def_17) ),
inference(superposition,[status(thm)],[c_381,c_1093]) ).
tcf(c_1399,plain,
~ p2(iPr_def_15,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_1398,c_399]) ).
tcf(c_3243,plain,
! [X0: $i] :
( ~ p15(c22,c21)
| ~ p2(f7(iPr_def_14,c20),iPr_def_13)
| ~ p2(c22,f9(c20,X0)) ),
inference(superposition,[status(thm)],[c_378,c_385]) ).
tcf(c_3244,plain,
! [X0: $i] :
( ~ p15(c22,c21)
| ~ p2(iPr_def_15,iPr_def_13)
| ~ p2(c22,f9(c20,X0)) ),
inference(light_normalisation,[status(thm)],[c_3243,c_379]) ).
tcf(c_3245,plain,
! [X0: $i] :
( ~ p2(iPr_def_15,iPr_def_13)
| ~ p2(c22,f9(c20,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3244,c_401]) ).
tcf(c_4552,plain,
~ p2(iPr_def_15,iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_3245,c_1399]) ).
tcf(c_15104,plain,
! [X0: $i] :
( p2(iPr_def_16,X0)
| ~ p2(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_390,c_392]) ).
tcf(c_15213,plain,
! [X0: $i,X1: $i] :
( p2(f6(X0,X1),iPr_def_13)
| ~ p2(X1,c17)
| ~ p2(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_377,c_388]) ).
tcf(c_15437,plain,
p2(iPr_def_16,iPr_def_15),
inference(superposition,[status(thm)],[c_402,c_15104]) ).
tcf(c_15440,plain,
! [X0: $i] :
( p2(iPr_def_15,X0)
| ~ p2(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_15437,c_392]) ).
tcf(c_15962,plain,
( p2(iPr_def_16,iPr_def_13)
| ~ p2(iPr_def_12,c17)
| ~ p2(iPr_def_11,iPr_def_11) ),
inference(superposition,[status(thm)],[c_380,c_15213]) ).
tcf(c_15967,plain,
p2(iPr_def_16,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_15962,c_398,c_402]) ).
tcf(c_16008,plain,
p2(iPr_def_15,iPr_def_13),
inference(superposition,[status(thm)],[c_15967,c_15440]) ).
tcf(c_16009,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16008,c_4552]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN603-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Fri Sep 25 01:51:05 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.04/0.33
% 0.04/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.33
% 0.04/0.33 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 0.60/0.97 % SZS status Started for theBenchmark.p
% 0.60/0.97 % SZS status Unsatisfiable for theBenchmark.p
% 0.60/0.97
% 0.60/0.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.60/0.97
% 0.60/0.97 % ------ iProver source info
% 0.60/0.97
% 0.60/0.97 % git: date: 2026-07-19 20:42:38 +0200
% 0.60/0.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.60/0.97 % git: non_committed_changes: false
% 0.60/0.97
% 0.60/0.97 % ------ Parsing...% successful
% 0.60/0.97
% 0.60/0.97
% 0.60/0.97 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.60/0.97
% 0.60/0.97 % ------ Preprocessing... sf_s rm: 10 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.60/0.97
% 0.60/0.97 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.60/0.97
% 0.60/0.97 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.60/0.97 % ------ Proving...
% 0.60/0.97 % ------ Problem Properties
% 0.60/0.97
% 0.60/0.97 %
% 0.60/0.97 % clauses 29
% 0.60/0.97 % conjectures 20
% 0.60/0.97 % EPR 8
% 0.60/0.97 % Horn 29
% 0.60/0.97 % unary 15
% 0.60/0.97 % binary 5
% 0.60/0.97 % lits 55
% 0.60/0.97 % lits eq 9
% 0.60/0.97 % fd_pure 0
% 0.60/0.97 % fd_pseudo 0
% 0.60/0.97 % fd_cond 0
% 0.60/0.97 % fd_pseudo_cond 0
% 0.60/0.97 % AC symbols 0
% 0.60/0.97
% 0.60/0.97 % ------ Schedule dynamic 5 is on
% 0.60/0.97
% 0.60/0.97 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.60/0.97
% 0.60/0.97
% 0.60/0.97 % ------
% 0.60/0.97 % Current options:
% 0.60/0.97 % ------
% 0.60/0.97
% 0.60/0.97
% 0.60/0.97 %
% 0.60/0.97
% 0.60/0.97 % ------ Proving...
% 0.60/0.97 %
% 0.60/0.97
% 0.60/0.97 % SZS status Unsatisfiable for theBenchmark.p
% 0.60/0.97
% 0.60/0.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.60/0.97
% 0.60/0.97
%------------------------------------------------------------------------------