%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN090-1.008 : 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 : n016.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 0.94s 6.29s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 32
% Syntax : Number of formulae : 65 ( 9 unt; 0 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 222 ( 112 ~; 110 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 4 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 : 32 ( 31 usr; 32 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 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_goal_1) ).
fof(f3,axiom,
( ~ q_2
| ~ q_1
| p_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_2) ).
fof(f7,axiom,
( ~ q_4
| ~ q_3
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_6) ).
fof(f9,axiom,
( ~ q_5
| ~ q_4
| p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_8) ).
fof(f11,axiom,
( ~ q_6
| ~ q_5
| p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_10) ).
fof(f13,axiom,
( ~ q_7
| ~ q_6
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_12) ).
fof(f15,axiom,
( ~ q_8
| ~ q_7
| p_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_14) ).
fof(f17,axiom,
( ~ q_9
| ~ q_8
| p_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_16) ).
fof(f19,axiom,
( ~ q_10
| ~ q_9
| p_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_18) ).
fof(f21,axiom,
( ~ q_11
| ~ q_10
| p_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_20) ).
fof(f23,axiom,
( ~ q_12
| ~ q_11
| p_10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_22) ).
fof(f25,axiom,
( ~ q_13
| ~ q_12
| p_11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_24) ).
fof(f27,axiom,
( ~ q_14
| ~ q_13
| p_12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_26) ).
fof(f29,axiom,
( ~ q_15
| ~ q_14
| p_13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_28) ).
fof(f31,axiom,
( ~ p_2
| ~ q_1
| q_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_2) ).
fof(f33,axiom,
( ~ p_3
| ~ q_2
| q_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_4) ).
fof(f35,axiom,
( ~ p_4
| ~ q_3
| q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_6) ).
fof(f37,axiom,
( ~ p_5
| ~ q_4
| q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_8) ).
fof(f39,axiom,
( ~ p_6
| ~ q_5
| q_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_10) ).
fof(f41,axiom,
( ~ p_7
| ~ q_6
| q_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_12) ).
fof(f43,axiom,
( ~ p_8
| ~ q_7
| q_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_14) ).
fof(f45,axiom,
( ~ p_9
| ~ q_8
| q_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_16) ).
fof(f47,axiom,
( ~ p_10
| ~ q_9
| q_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_18) ).
fof(f49,axiom,
( ~ p_11
| ~ q_10
| q_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_20) ).
fof(f51,axiom,
( ~ p_12
| ~ q_11
| q_10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_22) ).
fof(f53,axiom,
( ~ p_13
| ~ q_12
| q_11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_24) ).
fof(f55,axiom,
( ~ p_14
| ~ q_13
| q_12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_26) ).
fof(f57,axiom,
( ~ p_15
| ~ q_14
| q_13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_28) ).
fof(f62,axiom,
p_14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_1) ).
fof(f63,axiom,
p_15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_2) ).
fof(f64,axiom,
q_14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_3) ).
fof(f65,axiom,
q_15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_4) ).
tcf(c_114,negated_conjecture,
( ~ q_0
| ~ p_0 ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_116,plain,
( p_0
| ~ q_2
| ~ q_1 ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_120,plain,
( p_2
| ~ q_4
| ~ q_3 ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_122,plain,
( p_3
| ~ q_5
| ~ q_4 ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_124,plain,
( p_4
| ~ q_6
| ~ q_5 ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_126,plain,
( p_5
| ~ q_7
| ~ q_6 ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_128,plain,
( p_6
| ~ q_8
| ~ q_7 ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_130,plain,
( p_7
| ~ q_9
| ~ q_8 ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_132,plain,
( p_8
| ~ q_10
| ~ q_9 ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_134,plain,
( p_9
| ~ q_11
| ~ q_10 ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_136,plain,
( p_10
| ~ q_12
| ~ q_11 ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_138,plain,
( p_11
| ~ q_13
| ~ q_12 ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_140,plain,
( p_12
| ~ q_14
| ~ q_13 ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_142,plain,
( p_13
| ~ q_15
| ~ q_14 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_144,plain,
( q_0
| ~ q_1
| ~ p_2 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_146,plain,
( q_1
| ~ p_3
| ~ q_2 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_148,plain,
( q_2
| ~ p_4
| ~ q_3 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_150,plain,
( q_3
| ~ p_5
| ~ q_4 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_152,plain,
( q_4
| ~ p_6
| ~ q_5 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_154,plain,
( q_5
| ~ p_7
| ~ q_6 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_156,plain,
( q_6
| ~ p_8
| ~ q_7 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_158,plain,
( q_7
| ~ p_9
| ~ q_8 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_160,plain,
( q_8
| ~ p_10
| ~ q_9 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_162,plain,
( q_9
| ~ p_11
| ~ q_10 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_164,plain,
( q_10
| ~ p_12
| ~ q_11 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_166,plain,
( q_11
| ~ p_13
| ~ q_12 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_168,plain,
( q_12
| ~ p_14
| ~ q_13 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_170,plain,
( q_13
| ~ p_15
| ~ q_14 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_173,plain,
p_14,
inference(cnf_transformation,[],[f62]) ).
tcf(c_174,plain,
p_15,
inference(cnf_transformation,[],[f63]) ).
tcf(c_175,plain,
q_14,
inference(cnf_transformation,[],[f64]) ).
tcf(c_176,plain,
q_15,
inference(cnf_transformation,[],[f65]) ).
tcf(c_177,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_116,c_120,c_122,c_124,c_126,c_128,c_130,c_132,c_134,c_136,c_138,c_140,c_142,c_144,c_146,c_148,c_150,c_152,c_154,c_156,c_158,c_160,c_162,c_164,c_166,c_168,c_170,c_114,c_173,c_174,c_175,c_176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN090-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Fri Sep 25 00:14:19 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 0.94/6.29 % SZS status Started for theBenchmark.p
% 0.94/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.94/6.29
% 0.94/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.94/6.29
% 0.94/6.29 % ------ iProver source info
% 0.94/6.29
% 0.94/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.94/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.94/6.29 % git: non_committed_changes: false
% 0.94/6.29
% 0.94/6.29 % ------ Parsing...% successful
% 0.94/6.29
% 0.94/6.29
% 0.94/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.94/6.29 %
% 0.94/6.29
% 0.94/6.29 % ------ Preprocessing...%
% 0.94/6.29
% 0.94/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.94/6.29
% 0.94/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.94/6.29
% 0.94/6.29
%------------------------------------------------------------------------------