%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN094-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 03:39:10 PM UTC 2026
% Result : Unsatisfiable 0.43s 6.29s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 34
% Syntax : Number of formulae : 69 ( 3 unt; 0 def)
% Number of atoms : 189 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 210 ( 90 ~; 120 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 34 ( 33 usr; 34 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ q_0
| ~ p_0
| u_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_goal_1) ).
fof(f2,axiom,
~ u_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_1_s3_goal_1) ).
fof(f5,axiom,
( ~ q_2
| ~ q_1
| p_0
| u_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_2) ).
fof(f6,axiom,
( ~ u_3
| p_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_3_s3_type11_2) ).
fof(f9,axiom,
( ~ q_3
| ~ q_2
| p_1
| u_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_4) ).
fof(f10,axiom,
( ~ u_5
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_5_s3_type11_4) ).
fof(f15,axiom,
( ~ p_5
| ~ p_4
| p_3
| u_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_7) ).
fof(f16,axiom,
( ~ u_8
| p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_8_s3_type11_7) ).
fof(f19,axiom,
( ~ p_6
| ~ p_5
| p_4
| u_10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_9) ).
fof(f20,axiom,
( ~ u_10
| p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_10_s3_type11_9) ).
fof(f23,axiom,
( ~ p_7
| ~ p_6
| p_5
| u_12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_11) ).
fof(f24,axiom,
( ~ u_12
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_12_s3_type11_11) ).
fof(f27,axiom,
( ~ p_8
| ~ p_7
| p_6
| u_14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_13) ).
fof(f28,axiom,
( ~ u_14
| p_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_14_s3_type11_13) ).
fof(f33,axiom,
( ~ q_9
| ~ q_8
| p_7
| u_17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_16) ).
fof(f34,axiom,
( ~ u_17
| p_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_17_s3_type11_16) ).
fof(f35,axiom,
( ~ q_2
| ~ p_1
| q_0
| u_18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_1) ).
fof(f36,axiom,
( ~ u_18
| q_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_18_s3_type12_1) ).
fof(f41,axiom,
( ~ p_3
| ~ q_2
| q_1
| u_21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_4) ).
fof(f42,axiom,
( ~ u_21
| q_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_21_s3_type12_4) ).
fof(f45,axiom,
( ~ p_4
| ~ q_3
| q_2
| u_23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_6) ).
fof(f46,axiom,
( ~ u_23
| q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_23_s3_type12_6) ).
fof(f47,axiom,
( ~ q_5
| ~ p_4
| q_3
| u_24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_7) ).
fof(f48,axiom,
( ~ u_24
| q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_24_s3_type12_7) ).
fof(f55,axiom,
( ~ q_7
| ~ p_6
| q_5
| u_28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_11) ).
fof(f56,axiom,
( ~ u_28
| q_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_28_s3_type12_11) ).
fof(f63,axiom,
( ~ q_9
| ~ p_8
| q_7
| u_32 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_15) ).
fof(f64,axiom,
( ~ u_32
| q_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_32_s3_type12_15) ).
fof(f75,axiom,
( p_8
| u_38 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_1) ).
fof(f76,axiom,
( ~ u_38
| p_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_38_t3_1) ).
fof(f79,axiom,
( q_8
| u_40 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_3) ).
fof(f80,axiom,
( ~ u_40
| q_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_40_t3_3) ).
fof(f81,axiom,
( q_9
| u_41 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_4) ).
fof(f82,axiom,
( ~ u_41
| q_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_41_t3_4) ).
tcf(c_131,negated_conjecture,
( u_1
| ~ q_0
| ~ p_0 ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_132,plain,
~ u_1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_135,plain,
( u_3
| p_0
| ~ q_2
| ~ q_1 ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_136,plain,
( p_0
| ~ u_3 ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_139,plain,
( u_5
| p_1
| ~ q_3
| ~ q_2 ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_140,plain,
( p_1
| ~ u_5 ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_145,plain,
( u_8
| p_3
| ~ p_5
| ~ p_4 ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_146,plain,
( p_3
| ~ u_8 ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_149,plain,
( u_10
| p_4
| ~ p_6
| ~ p_5 ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_150,plain,
( p_4
| ~ u_10 ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_153,plain,
( u_12
| p_5
| ~ p_7
| ~ p_6 ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_154,plain,
( p_5
| ~ u_12 ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_157,plain,
( u_14
| p_6
| ~ p_8
| ~ p_7 ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_158,plain,
( p_6
| ~ u_14 ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_163,plain,
( u_17
| p_7
| ~ q_9
| ~ q_8 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_164,plain,
( p_7
| ~ u_17 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_165,plain,
( u_18
| q_0
| ~ q_2
| ~ p_1 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_166,plain,
( q_0
| ~ u_18 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_171,plain,
( u_21
| q_1
| ~ p_3
| ~ q_2 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_172,plain,
( q_1
| ~ u_21 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_175,plain,
( u_23
| q_2
| ~ p_4
| ~ q_3 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_176,plain,
( q_2
| ~ u_23 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_177,plain,
( u_24
| q_3
| ~ q_5
| ~ p_4 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_178,plain,
( q_3
| ~ u_24 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_185,plain,
( u_28
| q_5
| ~ q_7
| ~ p_6 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_186,plain,
( q_5
| ~ u_28 ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_193,plain,
( u_32
| q_7
| ~ q_9
| ~ p_8 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_194,plain,
( q_7
| ~ u_32 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_201,plain,
( u_38
| p_8 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_202,plain,
( p_8
| ~ u_38 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_205,plain,
( u_40
| q_8 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_206,plain,
( q_8
| ~ u_40 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_207,plain,
( u_41
| q_9 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_208,plain,
( q_9
| ~ u_41 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_209,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_135,c_139,c_145,c_149,c_153,c_157,c_163,c_165,c_171,c_175,c_177,c_185,c_193,c_131,c_136,c_140,c_146,c_150,c_154,c_158,c_164,c_166,c_172,c_176,c_178,c_186,c_194,c_202,c_206,c_208,c_132,c_201,c_205,c_207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN094-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n004.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Fri Sep 25 00:09:43 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 0.43/6.29 % SZS status Started for theBenchmark.p
% 0.43/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/6.29
% 0.43/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.43/6.29
% 0.43/6.29 % ------ iProver source info
% 0.43/6.29
% 0.43/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.43/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.43/6.29 % git: non_committed_changes: false
% 0.43/6.29
% 0.43/6.29 % ------ Parsing...% successful
% 0.43/6.29
% 0.43/6.29
% 0.43/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.43/6.29 %
% 0.43/6.29
% 0.43/6.29 % ------ Preprocessing...%
% 0.43/6.29
% 0.43/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/6.29
% 0.43/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/6.29
% 0.43/6.29
%------------------------------------------------------------------------------