%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN656-1 : 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 : n006.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 03:41:19 PM UTC 2026
% Result : Unsatisfiable 3.04s 11.28s
% Output : CNFRefutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 69 ( 33 unt; 7 def)
% Number of atoms : 206 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 119 ( 58 ~; 61 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn 98 !; 0 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
fof(f6,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
fof(f13,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_13) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_22) ).
fof(f31,negated_conjecture,
! [X0] : p25(f5(c29,f13(c31,f15(c32,X0))),f13(c31,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_31) ).
fof(f33,negated_conjecture,
! [X2,X0,X1] :
( ~ p25(f5(X0,X1),X2)
| p25(f5(f7(c28,X0),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_33) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p25(X3,X2)
| ~ p4(X3,X0)
| ~ p3(X2,X1)
| p25(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_35) ).
fof(f42,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p12(X1,X3)
| ~ p11(X0,X2)
| p3(f13(X0,X1),f13(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_42) ).
fof(f45,negated_conjecture,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p25_45) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p25(f5(f7(c28,X0),X3),X2)
| ~ p25(f5(X0,X1),X3)
| p25(f5(f7(c28,X0),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_46) ).
fof(f49,negated_conjecture,
! [X0] :
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X0))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_49) ).
tcf(c_98,negated_conjecture,
! [X0: $i] : p11(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_102,negated_conjecture,
! [X0: $i] : p4(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_103,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_110,negated_conjecture,
! [X0: $i] : p12(X0,X0),
inference(cnf_transformation,[],[f13]) ).
tcf(c_119,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_128,negated_conjecture,
! [X0: $i] : p25(f5(c29,f13(c31,f15(c32,X0))),f13(c31,X0)),
inference(cnf_transformation,[],[f31]) ).
tcf(c_130,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p25(f5(f7(c28,X0),X1),X2)
| ~ p25(f5(X0,X1),X2) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_132,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p25(X1,X3)
| ~ p25(X0,X2)
| ~ p3(X2,X3)
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_139,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(f13(X0,X2),f13(X1,X3))
| ~ p12(X2,X3)
| ~ p11(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_142,negated_conjecture,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(cnf_transformation,[],[f45]) ).
tcf(c_143,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p25(f5(f7(c28,X0),X3),X2)
| ~ p25(f5(X0,X3),X1)
| ~ p25(f5(f7(c28,X0),X1),X2) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_146,negated_conjecture,
! [X0: $i] :
( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0)))
| p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X0))),f13(c31,c34)) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_567,definition,
iPr_def_10 = f7(c28,c29),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_568,definition,
iPr_def_11 = f17(c33,c34),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_569,definition,
iPr_def_12 = f13(c31,c34),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_570,definition,
iPr_def_13 = f15(iPr_def_11,c35),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_571,definition,
iPr_def_14 = f15(c32,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_572,definition,
iPr_def_15 = f13(c31,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_573,definition,
iPr_def_16 = f5(iPr_def_10,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_574,negated_conjecture,
! [X0: $i] :
( p3(iPr_def_12,f13(c31,f15(iPr_def_11,X0)))
| p25(f5(iPr_def_10,f13(c31,f15(iPr_def_11,X0))),iPr_def_12) ),
inference(demodulation,[status(thm)],[c_146,c_569,c_568,c_567]) ).
tcf(c_577,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p25(f5(f7(c28,X0),X3),X2)
| ~ p25(f5(X0,X3),X1)
| ~ p25(f5(f7(c28,X0),X1),X2) ),
inference(demodulation,[status(thm)],[c_143]) ).
tcf(c_578,negated_conjecture,
~ p25(iPr_def_16,iPr_def_12),
inference(demodulation,[status(thm)],[c_142,c_570,c_571,c_572,c_573]) ).
tcf(c_581,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(f13(X0,X2),f13(X1,X3))
| ~ p12(X2,X3)
| ~ p11(X0,X1) ),
inference(demodulation,[status(thm)],[c_139]) ).
tcf(c_587,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p25(X1,X3)
| ~ p25(X0,X2)
| ~ p3(X2,X3)
| ~ p4(X0,X1) ),
inference(demodulation,[status(thm)],[c_132]) ).
tcf(c_588,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p25(f5(f7(c28,X0),X1),X2)
| ~ p25(f5(X0,X1),X2) ),
inference(demodulation,[status(thm)],[c_130]) ).
tcf(c_589,negated_conjecture,
! [X0: $i] : p25(f5(c29,f13(c31,f15(c32,X0))),f13(c31,X0)),
inference(demodulation,[status(thm)],[c_128]) ).
tcf(c_597,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_602,negated_conjecture,
! [X0: $i] : p12(X0,X0),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_609,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_610,negated_conjecture,
! [X0: $i] : p4(X0,X0),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_612,negated_conjecture,
! [X0: $i] : p11(X0,X0),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_1256,plain,
( p25(f5(iPr_def_10,f13(c31,iPr_def_13)),iPr_def_12)
| p3(iPr_def_12,f13(c31,f15(iPr_def_11,c35))) ),
inference(superposition,[status(thm)],[c_570,c_574]) ).
tcf(c_1257,plain,
( p3(iPr_def_12,f13(c31,iPr_def_13))
| p25(f5(iPr_def_10,f13(c31,iPr_def_13)),iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_1256,c_570]) ).
tcf(c_1307,plain,
p25(f5(c29,f13(c31,iPr_def_14)),f13(c31,iPr_def_13)),
inference(superposition,[status(thm)],[c_571,c_589]) ).
tcf(c_1308,plain,
p25(f5(c29,iPr_def_15),f13(c31,iPr_def_13)),
inference(light_normalisation,[status(thm)],[c_1307,c_572]) ).
tcf(c_1350,plain,
! [X0: $i,X1: $i] :
( p25(f5(iPr_def_10,X0),X1)
| ~ p25(f5(c29,X0),X1) ),
inference(superposition,[status(thm)],[c_567,c_588]) ).
tcf(c_1392,plain,
! [X0: $i,X1: $i] :
( p3(iPr_def_12,f13(X0,X1))
| ~ p12(c34,X1)
| ~ p11(c31,X0) ),
inference(superposition,[status(thm)],[c_569,c_581]) ).
tcf(c_1500,plain,
p25(f5(iPr_def_10,iPr_def_15),f13(c31,iPr_def_13)),
inference(superposition,[status(thm)],[c_1308,c_1350]) ).
tcf(c_1502,plain,
p25(iPr_def_16,f13(c31,iPr_def_13)),
inference(light_normalisation,[status(thm)],[c_1500,c_573]) ).
tcf(c_1543,plain,
! [X0: $i,X1: $i,X2: $i] :
( p25(X2,X1)
| ~ p25(X2,X0)
| ~ p3(X0,X1) ),
inference(superposition,[status(thm)],[c_610,c_587]) ).
tcf(c_1567,plain,
! [X0: $i,X1: $i,X2: $i] :
( p25(f5(f7(c28,c29),X0),X2)
| ~ p25(f5(iPr_def_10,X1),X2)
| ~ p25(f5(c29,X0),X1) ),
inference(superposition,[status(thm)],[c_567,c_577]) ).
tcf(c_1568,plain,
! [X0: $i,X1: $i,X2: $i] :
( p25(f5(iPr_def_10,X0),X2)
| ~ p25(f5(iPr_def_10,X1),X2)
| ~ p25(f5(c29,X0),X1) ),
inference(light_normalisation,[status(thm)],[c_1567,c_567]) ).
tcf(c_2095,plain,
! [X0: $i] :
( p25(f5(iPr_def_10,iPr_def_15),X0)
| ~ p25(f5(iPr_def_10,f13(c31,iPr_def_13)),X0) ),
inference(superposition,[status(thm)],[c_1308,c_1568]) ).
tcf(c_2097,plain,
! [X0: $i] :
( p25(iPr_def_16,X0)
| ~ p25(f5(iPr_def_10,f13(c31,iPr_def_13)),X0) ),
inference(light_normalisation,[status(thm)],[c_2095,c_573]) ).
tcf(c_2132,plain,
( p25(iPr_def_16,iPr_def_12)
| p3(iPr_def_12,f13(c31,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_1257,c_2097]) ).
tcf(c_2133,plain,
p3(iPr_def_12,f13(c31,iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_2132,c_578]) ).
tcf(c_2139,plain,
! [X0: $i] :
( p3(f13(c31,iPr_def_13),X0)
| ~ p3(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_2133,c_597]) ).
tcf(c_2151,plain,
! [X0: $i,X1: $i] :
( p3(X1,X0)
| ~ p3(iPr_def_12,X1)
| ~ p3(f13(c31,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_2139,c_597]) ).
tcf(c_2165,plain,
! [X0: $i] :
( p3(X0,f13(c31,iPr_def_13))
| ~ p3(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_609,c_2151]) ).
tcf(c_2203,plain,
! [X0: $i,X1: $i] :
( p3(f13(c31,iPr_def_13),X1)
| ~ p3(iPr_def_12,X0)
| ~ p3(X0,X1) ),
inference(superposition,[status(thm)],[c_2165,c_597]) ).
tcf(c_2262,plain,
! [X0: $i,X1: $i] :
( p3(f13(c31,iPr_def_13),f13(X0,X1))
| ~ p3(iPr_def_12,iPr_def_12)
| ~ p12(c34,X1)
| ~ p11(c31,X0) ),
inference(superposition,[status(thm)],[c_1392,c_2203]) ).
tcf(c_2281,plain,
! [X0: $i,X1: $i] :
( p3(f13(c31,iPr_def_13),f13(X0,X1))
| ~ p12(c34,X1)
| ~ p11(c31,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2262,c_609]) ).
tcf(c_2314,plain,
( p3(f13(c31,iPr_def_13),iPr_def_12)
| ~ p12(c34,c34)
| ~ p11(c31,c31) ),
inference(superposition,[status(thm)],[c_569,c_2281]) ).
tcf(c_2323,plain,
p3(f13(c31,iPr_def_13),iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_2314,c_602,c_612]) ).
tcf(c_2352,plain,
! [X0: $i] :
( p25(X0,iPr_def_12)
| ~ p25(X0,f13(c31,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_2323,c_1543]) ).
tcf(c_3117,plain,
p25(iPr_def_16,iPr_def_12),
inference(superposition,[status(thm)],[c_1502,c_2352]) ).
tcf(c_3119,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3117,c_578]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN656-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/10.37 % Computer : n006.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Fri Sep 25 02:00:40 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/10.41 Running first-order theorem proving
% 0.14/10.41 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
% 0.14/10.42
% 0.14/10.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.42
% 0.14/10.42 % Detected problem language: tptp
% 0.14/10.43 % Proving...
% 3.04/11.28 % SZS status Started for theBenchmark.p
% 3.04/11.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.04/11.28
% 3.04/11.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.04/11.28
% 3.04/11.28 % ------ iProver source info
% 3.04/11.28
% 3.04/11.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.04/11.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.04/11.28 % git: non_committed_changes: false
% 3.04/11.28
% 3.04/11.28 % ------ Parsing...% successful
% 3.04/11.28
% 3.04/11.28
% 3.04/11.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.04/11.28
% 3.04/11.28 % ------ Preprocessing... sf_s rm: 9 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.04/11.28
% 3.04/11.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.04/11.28
% 3.04/11.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.04/11.28 % ------ Proving...
% 3.04/11.28 % ------ Problem Properties
% 3.04/11.28
% 3.04/11.28 %
% 3.04/11.28 % clauses 46
% 3.04/11.28 % conjectures 39
% 3.04/11.28 % EPR 24
% 3.04/11.28 % Horn 43
% 3.04/11.28 % unary 21
% 3.04/11.28 % binary 2
% 3.04/11.28 % lits 95
% 3.04/11.28 % lits eq 7
% 3.04/11.28 % fd_pure 0
% 3.04/11.28 % fd_pseudo 0
% 3.04/11.28 % fd_cond 0
% 3.04/11.28 % fd_pseudo_cond 0
% 3.04/11.28 % AC symbols 0
% 3.04/11.28
% 3.04/11.28 % ------ Schedule dynamic 5 is on
% 3.04/11.28
% 3.04/11.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.04/11.28
% 3.04/11.28
% 3.04/11.28 % ------
% 3.04/11.28 % Current options:
% 3.04/11.28 % ------
% 3.04/11.28
% 3.04/11.28
% 3.04/11.28 %
% 3.04/11.28
% 3.04/11.28 % ------ Proving...
% 3.04/11.28 %
% 3.04/11.28
% 3.04/11.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.04/11.28
% 3.04/11.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.04/11.28
% 3.04/11.28
%------------------------------------------------------------------------------