%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN682-1 : 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 : n001.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 03:41:22 PM UTC 2026
% Result : Unsatisfiable 3.80s 1.30s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 25 unt; 5 def)
% Number of atoms : 82 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 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 : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f12,negated_conjecture,
p25(c33,c36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).
fof(f14,negated_conjecture,
p25(c32,c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_14) ).
fof(f19,negated_conjecture,
! [X0] : ~ p2(X0,f18(X0,f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_19) ).
fof(f31,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_31) ).
fof(f39,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).
fof(f51,negated_conjecture,
! [X0] :
( ~ p25(c32,X0)
| ~ p25(X0,c36)
| p2(f11(f4(X0),c34),f11(f4(c32),c34)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_51) ).
tcf(c_110,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f7]) ).
tcf(c_115,negated_conjecture,
p25(c33,c36),
inference(cnf_transformation,[],[f12]) ).
tcf(c_117,negated_conjecture,
p25(c32,c33),
inference(cnf_transformation,[],[f14]) ).
tcf(c_122,negated_conjecture,
! [X0: $i] : ~ p2(X0,f18(X0,f9(f17(c31)))),
inference(cnf_transformation,[],[f19]) ).
tcf(c_134,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_142,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
inference(cnf_transformation,[],[f39]) ).
tcf(c_154,negated_conjecture,
! [X0: $i] :
( p2(f11(f4(X0),c34),f11(f4(c32),c34))
| ~ p25(c32,X0)
| ~ p25(X0,c36) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_518,definition,
iPr_def_10 = f4(c32),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_519,definition,
iPr_def_11 = f11(iPr_def_10,c34),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_532,definition,
iPr_def_24 = f4(c33),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_533,definition,
iPr_def_25 = f11(iPr_def_24,c34),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_534,definition,
iPr_def_26 = f18(iPr_def_25,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_536,negated_conjecture,
! [X0: $i] :
( p2(f11(f4(X0),c34),iPr_def_11)
| ~ p25(c32,X0)
| ~ p25(X0,c36) ),
inference(demodulation,[status(thm)],[c_154,c_518,c_519]) ).
tcf(c_544,negated_conjecture,
p2(iPr_def_11,iPr_def_26),
inference(demodulation,[status(thm)],[c_142,c_532,c_533,c_534]) ).
tcf(c_546,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(demodulation,[status(thm)],[c_134]) ).
tcf(c_553,negated_conjecture,
! [X0: $i] : ~ p2(X0,f18(X0,iPr_def_13)),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_555,negated_conjecture,
p25(c32,c33),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_557,negated_conjecture,
p25(c33,c36),
inference(demodulation,[status(thm)],[c_115]) ).
tcf(c_559,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_1144,plain,
( p2(f11(iPr_def_24,c34),iPr_def_11)
| ~ p25(c32,c33)
| ~ p25(c33,c36) ),
inference(superposition,[status(thm)],[c_532,c_536]) ).
tcf(c_1150,plain,
( p2(iPr_def_25,iPr_def_11)
| ~ p25(c32,c33)
| ~ p25(c33,c36) ),
inference(light_normalisation,[status(thm)],[c_1144,c_533]) ).
tcf(c_1151,plain,
p2(iPr_def_25,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_1150,c_555,c_557]) ).
tcf(c_1165,plain,
! [X0: $i] :
( p2(iPr_def_11,X0)
| ~ p2(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_1151,c_546]) ).
tcf(c_1530,plain,
p2(iPr_def_11,iPr_def_25),
inference(superposition,[status(thm)],[c_559,c_1165]) ).
tcf(c_1533,plain,
! [X0: $i] :
( p2(iPr_def_25,X0)
| ~ p2(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_1530,c_546]) ).
tcf(c_1571,plain,
~ p2(iPr_def_25,iPr_def_26),
inference(superposition,[status(thm)],[c_534,c_553]) ).
tcf(c_1663,plain,
p2(iPr_def_25,iPr_def_26),
inference(superposition,[status(thm)],[c_544,c_1533]) ).
tcf(c_1665,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1663,c_1571]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN682-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 02:10:24 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 0.13/0.43
% 0.13/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43
% 0.13/0.43 % Detected problem language: tptp
% 0.13/0.44 % Proving...
% 3.80/1.30 % SZS status Started for theBenchmark.p
% 3.80/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.80/1.30
% 3.80/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.80/1.30
% 3.80/1.30 % ------ iProver source info
% 3.80/1.30
% 3.80/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.80/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.80/1.30 % git: non_committed_changes: false
% 3.80/1.30
% 3.80/1.30 % ------ Parsing...% successful
% 3.80/1.30
% 3.80/1.30
% 3.80/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.80/1.30
% 3.80/1.30 % ------ Preprocessing... sf_s rm: 29 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.80/1.30
% 3.80/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.80/1.30
% 3.80/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.80/1.30 % ------ Proving...
% 3.80/1.30 % ------ Problem Properties
% 3.80/1.30
% 3.80/1.30 %
% 3.80/1.30 % clauses 44
% 3.80/1.30 % conjectures 26
% 3.80/1.30 % EPR 16
% 3.80/1.30 % Horn 44
% 3.80/1.30 % unary 31
% 3.80/1.30 % binary 4
% 3.80/1.30 % lits 67
% 3.80/1.31 % lits eq 18
% 3.80/1.31 % fd_pure 0
% 3.80/1.31 % fd_pseudo 0
% 3.80/1.31 % fd_cond 0
% 3.80/1.31 % fd_pseudo_cond 0
% 3.80/1.31 % AC symbols 0
% 3.80/1.31
% 3.80/1.31 % ------ Schedule dynamic 5 is on
% 3.80/1.31
% 3.80/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.80/1.31
% 3.80/1.31
% 3.80/1.31 % ------
% 3.80/1.31 % Current options:
% 3.80/1.31 % ------
% 3.80/1.31
% 3.80/1.31
% 3.80/1.31 %
% 3.80/1.31
% 3.80/1.31 % ------ Proving...
% 3.80/1.31 %
% 3.80/1.31
% 3.80/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.80/1.31
% 3.80/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/1.31
% 3.80/1.31
%------------------------------------------------------------------------------