%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN096-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 : Tue Sep 29 01:49:39 PM UTC 2026
% Result : Unsatisfiable 3.07s 1.07s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 47
% Syntax : Number of formulae : 169 ( 29 unt; 21 def)
% Number of atoms : 392 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 434 ( 211 ~; 202 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 47 ( 46 usr; 22 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( ~ q_0(X0)
| ~ p_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_goal_1) ).
fof(f3,axiom,
! [X0] :
( ~ q_2(X0)
| ~ q_1(X0)
| p_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_2) ).
fof(f6,axiom,
! [X0] :
( ~ p_4(X0)
| ~ p_3(X0)
| p_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_5) ).
fof(f9,axiom,
! [X0] :
( ~ q_5(X0)
| ~ q_4(X0)
| p_3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_8) ).
fof(f11,axiom,
! [X0] :
( ~ q_6(X0)
| ~ q_5(X0)
| p_4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_10) ).
fof(f15,axiom,
! [X0] :
( ~ q_8(X0)
| ~ q_7(X0)
| p_6(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_14) ).
fof(f18,axiom,
! [X0] :
( ~ p_10(X0)
| ~ p_9(X0)
| p_8(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_17) ).
fof(f21,axiom,
! [X0] :
( ~ q_11(X0)
| ~ q_10(X0)
| p_9(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_20) ).
fof(f23,axiom,
! [X0] :
( ~ q_12(X0)
| ~ q_11(X0)
| p_10(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_22) ).
fof(f27,axiom,
! [X0] :
( ~ q_14(X0)
| ~ q_13(X0)
| p_12(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_26) ).
fof(f29,axiom,
! [X0] :
( p_13(X0)
| ~ q_14(X0)
| ~ q_15(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_28) ).
fof(f31,axiom,
! [X0] :
( ~ q_1(X0)
| q_0(X0)
| ~ p_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_2) ).
fof(f33,axiom,
! [X0] :
( ~ p_3(X0)
| ~ q_2(X0)
| q_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_4) ).
fof(f34,axiom,
! [X0] :
( ~ q_4(X0)
| ~ p_3(X0)
| q_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_5) ).
fof(f39,axiom,
! [X0] :
( ~ p_6(X0)
| ~ q_5(X0)
| q_4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_10) ).
fof(f40,axiom,
! [X0] :
( ~ q_7(X0)
| ~ p_6(X0)
| q_5(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_11) ).
fof(f43,axiom,
! [X0] :
( ~ p_8(X0)
| ~ q_7(X0)
| q_6(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_14) ).
fof(f45,axiom,
! [X0] :
( ~ p_9(X0)
| ~ q_8(X0)
| q_7(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_16) ).
fof(f46,axiom,
! [X0] :
( ~ q_10(X0)
| ~ p_9(X0)
| q_8(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_17) ).
fof(f51,axiom,
! [X0] :
( ~ p_12(X0)
| ~ q_11(X0)
| q_10(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_22) ).
fof(f52,axiom,
! [X0] :
( ~ p_12(X0)
| q_11(X0)
| ~ q_13(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_23) ).
fof(f54,axiom,
! [X0] :
( ~ q_14(X0)
| ~ p_13(X0)
| q_12(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_25) ).
fof(f57,axiom,
! [X0] :
( q_13(X0)
| ~ q_14(X0)
| ~ p_15(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_28) ).
fof(f63,axiom,
p_15(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_2) ).
fof(f64,axiom,
q_14(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_3) ).
fof(f65,axiom,
q_15(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_4) ).
fof(f68,definition,
( spl0_1
<=> p_12(a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( p_12(a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f72,definition,
( spl0_2
<=> p_13(a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( p_13(a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f74,plain,
( ~ p_13(a)
| spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f76,plain,
( ~ q_14(a)
| ~ q_15(a)
| spl0_2 ),
inference(resolution,[],[f74,f29]) ).
fof(f79,plain,
( ~ q_15(a)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f76,f64]) ).
fof(f82,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f79,f65]) ).
fof(f83,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f84,plain,
( ~ q_13(a)
| p_12(a) ),
inference(resolution,[],[f27,f64]) ).
fof(f86,definition,
( spl0_3
<=> q_13(a) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f88,plain,
( ~ q_13(a)
| spl0_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f84,f86,f68]) ).
fof(f91,plain,
( ~ q_11(a)
| q_10(a)
| ~ spl0_1 ),
inference(resolution,[],[f70,f51]) ).
fof(f94,definition,
( spl0_4
<=> p_10(a) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f96,plain,
( p_10(a)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f103,definition,
( spl0_6
<=> q_10(a) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f105,plain,
( q_10(a)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f107,definition,
( spl0_7
<=> q_11(a) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f108,plain,
( q_11(a)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f91,f68,f107,f103]) ).
fof(f112,plain,
( q_11(a)
| ~ q_13(a)
| ~ spl0_1 ),
inference(resolution,[],[f52,f70]) ).
fof(f113,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f112,f68,f107,f86]) ).
fof(f114,plain,
( ~ q_14(a)
| ~ p_15(a)
| spl0_3 ),
inference(resolution,[],[f88,f57]) ).
fof(f117,plain,
( ~ p_15(a)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f114,f64]) ).
fof(f120,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f117,f63]) ).
fof(f121,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f120]) ).
fof(f122,plain,
( ~ p_13(a)
| q_12(a) ),
inference(resolution,[],[f54,f64]) ).
fof(f123,plain,
( q_12(a)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f122,f73]) ).
fof(f129,plain,
( ~ q_11(a)
| p_10(a)
| ~ spl0_2 ),
inference(resolution,[],[f123,f23]) ).
fof(f130,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f129,f72,f107,f94]) ).
fof(f137,plain,
( ~ p_9(a)
| p_8(a)
| ~ spl0_4 ),
inference(resolution,[],[f96,f18]) ).
fof(f139,definition,
( spl0_8
<=> p_8(a) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f141,plain,
( p_8(a)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f143,definition,
( spl0_9
<=> p_9(a) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f144,plain,
( p_9(a)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f137,f94,f143,f139]) ).
fof(f148,definition,
( spl0_10
<=> q_8(a) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f150,plain,
( q_8(a)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f161,plain,
( ~ p_9(a)
| q_8(a)
| ~ spl0_6 ),
inference(resolution,[],[f105,f46]) ).
fof(f164,plain,
( spl0_10
| ~ spl0_9
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f161,f103,f143,f148]) ).
fof(f166,plain,
( ~ q_10(a)
| p_9(a)
| ~ spl0_7 ),
inference(resolution,[],[f108,f21]) ).
fof(f167,plain,
( p_9(a)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f166,f105]) ).
fof(f169,plain,
( spl0_9
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f167,f107,f103,f143]) ).
fof(f171,plain,
( ~ q_7(a)
| q_6(a)
| ~ spl0_8 ),
inference(resolution,[],[f141,f43]) ).
fof(f174,definition,
( spl0_12
<=> p_6(a) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f176,plain,
( p_6(a)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f183,definition,
( spl0_14
<=> q_6(a) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f185,plain,
( q_6(a)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f187,definition,
( spl0_15
<=> q_7(a) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f188,plain,
( q_7(a)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f190,plain,
( spl0_14
| ~ spl0_15
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f171,f139,f187,f183]) ).
fof(f191,plain,
( ~ q_8(a)
| q_7(a)
| ~ spl0_9 ),
inference(resolution,[],[f144,f45]) ).
fof(f194,plain,
( spl0_15
| ~ spl0_10
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f191,f143,f148,f187]) ).
fof(f197,plain,
( ~ q_7(a)
| p_6(a)
| ~ spl0_10 ),
inference(resolution,[],[f150,f15]) ).
fof(f198,plain,
( spl0_12
| ~ spl0_15
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f197,f148,f187,f174]) ).
fof(f206,plain,
( ~ q_5(a)
| q_4(a)
| ~ spl0_12 ),
inference(resolution,[],[f176,f39]) ).
fof(f209,definition,
( spl0_16
<=> p_4(a) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f211,plain,
( p_4(a)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f218,definition,
( spl0_18
<=> q_4(a) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f220,plain,
( q_4(a)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_19
<=> q_5(a) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f223,plain,
( q_5(a)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,plain,
( spl0_18
| ~ spl0_19
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f206,f174,f222,f218]) ).
fof(f232,plain,
( ~ q_5(a)
| p_4(a)
| ~ spl0_14 ),
inference(resolution,[],[f185,f11]) ).
fof(f233,plain,
( spl0_16
| ~ spl0_19
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f232,f183,f222,f209]) ).
fof(f235,plain,
( ~ p_6(a)
| q_5(a)
| ~ spl0_15 ),
inference(resolution,[],[f188,f40]) ).
fof(f238,plain,
( q_5(a)
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f235,f176]) ).
fof(f240,plain,
( spl0_19
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f238,f187,f174,f222]) ).
fof(f242,plain,
( ~ p_3(a)
| p_2(a)
| ~ spl0_16 ),
inference(resolution,[],[f211,f6]) ).
fof(f244,definition,
( spl0_20
<=> p_2(a) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f246,plain,
( p_2(a)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl0_21
<=> p_3(a) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f249,plain,
( p_3(a)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,plain,
( spl0_20
| ~ spl0_21
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f242,f209,f248,f244]) ).
fof(f253,definition,
( spl0_22
<=> q_2(a) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f255,plain,
( q_2(a)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f266,plain,
( ~ p_3(a)
| q_2(a)
| ~ spl0_18 ),
inference(resolution,[],[f220,f34]) ).
fof(f269,plain,
( spl0_22
| ~ spl0_21
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f266,f218,f248,f253]) ).
fof(f271,plain,
( ~ q_4(a)
| p_3(a)
| ~ spl0_19 ),
inference(resolution,[],[f223,f9]) ).
fof(f272,plain,
( p_3(a)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f271,f220]) ).
fof(f274,plain,
( spl0_21
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f272,f222,f218,f248]) ).
fof(f278,definition,
( spl0_24
<=> p_0(a) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f280,plain,
( p_0(a)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f286,plain,
( ~ q_2(a)
| q_1(a)
| ~ spl0_21 ),
inference(resolution,[],[f249,f33]) ).
fof(f290,definition,
( spl0_26
<=> q_1(a) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f292,plain,
( q_1(a)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f293,plain,
( spl0_26
| ~ spl0_22
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f286,f248,f253,f290]) ).
fof(f296,plain,
( ~ q_1(a)
| p_0(a)
| ~ spl0_22 ),
inference(resolution,[],[f255,f3]) ).
fof(f297,plain,
( spl0_24
| ~ spl0_26
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f296,f253,f290,f278]) ).
fof(f299,definition,
( spl0_27
<=> q_0(a) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f301,plain,
( q_0(a)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f309,plain,
( q_0(a)
| ~ p_2(a)
| ~ spl0_26 ),
inference(resolution,[],[f292,f31]) ).
fof(f310,plain,
( q_0(a)
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f309,f246]) ).
fof(f311,plain,
( spl0_27
| ~ spl0_20
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f310,f290,f244,f299]) ).
fof(f312,plain,
( ~ p_0(a)
| ~ spl0_27 ),
inference(resolution,[],[f301,f1]) ).
fof(f313,plain,
( $false
| ~ spl0_24
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f312,f280]) ).
fof(f314,plain,
( ~ spl0_24
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f313]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f83]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f89]) ).
cnf(s6,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f110]) ).
cnf(s8,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f113]) ).
cnf(s10,plain,
spl0_3,
inference(sat_conversion,[],[f121]) ).
cnf(s11,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f130]) ).
cnf(s15,plain,
( ~ spl0_4
| spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f146]) ).
cnf(s20,plain,
( ~ spl0_6
| ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f164]) ).
cnf(s21,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f169]) ).
cnf(s24,plain,
( ~ spl0_8
| spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f190]) ).
cnf(s25,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f194]) ).
cnf(s27,plain,
( ~ spl0_10
| spl0_12
| ~ spl0_15 ),
inference(sat_conversion,[],[f198]) ).
cnf(s32,plain,
( ~ spl0_12
| spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f225]) ).
cnf(s35,plain,
( ~ spl0_14
| spl0_16
| ~ spl0_19 ),
inference(sat_conversion,[],[f233]) ).
cnf(s38,plain,
( ~ spl0_12
| ~ spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f240]) ).
cnf(s39,plain,
( ~ spl0_16
| spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f251]) ).
cnf(s44,plain,
( ~ spl0_18
| ~ spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f269]) ).
cnf(s45,plain,
( ~ spl0_18
| ~ spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f274]) ).
cnf(s48,plain,
( ~ spl0_21
| ~ spl0_22
| spl0_26 ),
inference(sat_conversion,[],[f293]) ).
cnf(s50,plain,
( ~ spl0_22
| spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f297]) ).
cnf(s54,plain,
( ~ spl0_20
| ~ spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f311]) ).
cnf(s55,plain,
( ~ spl0_24
| ~ spl0_27 ),
inference(sat_conversion,[],[f314]) ).
cnf(s56,plain,
( ~ spl0_1
| spl0_7 ),
inference(rat,[],[s8,s10]) ).
cnf(s57,plain,
spl0_1,
inference(rat,[],[s4,s10]) ).
cnf(s58,plain,
spl0_7,
inference(rat,[],[s56,s57]) ).
cnf(s59,plain,
spl0_6,
inference(rat,[],[s6,s58,s57]) ).
cnf(s60,plain,
spl0_9,
inference(rat,[],[s21,s58,s59]) ).
cnf(s61,plain,
spl0_10,
inference(rat,[],[s20,s59,s60]) ).
cnf(s62,plain,
spl0_15,
inference(rat,[],[s25,s60,s61]) ).
cnf(s63,plain,
spl0_12,
inference(rat,[],[s27,s61,s62]) ).
cnf(s64,plain,
spl0_19,
inference(rat,[],[s38,s62,s63]) ).
cnf(s65,plain,
spl0_18,
inference(rat,[],[s32,s64,s63]) ).
cnf(s66,plain,
spl0_21,
inference(rat,[],[s45,s64,s65]) ).
cnf(s67,plain,
spl0_22,
inference(rat,[],[s44,s65,s66]) ).
cnf(s68,plain,
spl0_26,
inference(rat,[],[s48,s66,s67]) ).
cnf(s69,plain,
spl0_24,
inference(rat,[],[s50,s67,s68]) ).
cnf(s70,plain,
~ spl0_27,
inference(rat,[],[s55,s69]) ).
cnf(s72,plain,
~ spl0_20,
inference(rat,[],[s54,s68,s70]) ).
cnf(s74,plain,
~ spl0_16,
inference(rat,[],[s39,s66,s72]) ).
cnf(s76,plain,
~ spl0_14,
inference(rat,[],[s35,s64,s74]) ).
cnf(s78,plain,
~ spl0_8,
inference(rat,[],[s24,s62,s76]) ).
cnf(s80,plain,
~ spl0_4,
inference(rat,[],[s15,s60,s78]) ).
cnf(s82,plain,
~ spl0_2,
inference(rat,[],[s11,s58,s80]) ).
cnf(s83,plain,
$false,
inference(rat,[],[s3,s82]) ).
fof(f315,plain,
$false,
inference(avatar_sat_refutation,[],[s83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN096-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:33:15 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.07/1.06 % (3151728)Input is clausal, will run a generic CNF schedule.
% 3.07/1.06 % (3151734)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3954787342:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.07/1.06 % (3151737)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2807476272:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.07/1.06 % (3151733)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2639593950:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.07/1.06 % (3151735)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1482346025:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.07/1.06 % (3151736)lrs+10_1_sil=8000:sp=occurrence:random_seed=2294685700:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.07/1.06 % (3151738)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=19413169:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.07/1.06 % (3151736)Refutation not found, incomplete strategy
% 3.07/1.06 % (3151736)------------------------------
% 3.07/1.06 % (3151736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.06 % (3151736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.06 % (3151736)CaDiCaL version: 2.1.3
% 3.07/1.06 % (3151736)Termination reason: Refutation not found, incomplete strategy
% 3.07/1.06 % (3151736)Time elapsed: 0.001 s
% 3.07/1.06 % (3151736)Peak memory usage: 86 MB
% 3.07/1.06 % (3151737)Also succeeded, but the first one will report.
% 3.07/1.06 % (3151738)First to succeed.
% 3.07/1.06 % (3151738)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3151728"
% 3.07/1.06 % (3151739)dis-21_1_sil=8000:lcm=predicate:random_seed=1784200501:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.07/1.06 % (3151739)Also succeeded, but the first one will report.
% 3.07/1.06 % (3151736)------------------------------
% 3.07/1.06 % (3151736)------------------------------
% 3.07/1.07 % (3151738)Refutation found. Thanks to Tanya!
% 3.07/1.07 % SZS status Unsatisfiable for theBenchmark
% 3.07/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 3.40/1.16 % (3151738)------------------------------
% 3.40/1.16 % (3151738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.16 % (3151738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.16 % (3151738)CaDiCaL version: 2.1.3
% 3.40/1.16 % (3151738)Termination reason: Refutation
% 3.40/1.16 % (3151738)Time elapsed: 0.005 s
% 3.40/1.16 % (3151738)Peak memory usage: 89 MB
% 3.40/1.16 % (3151738)Instructions burned: 6 (million)
% 3.40/1.16 % (3151738)------------------------------
% 3.40/1.16 % (3151738)------------------------------
% 3.40/1.16 % (3151728)Success in time 0.404 s
% 3.40/1.16 % Vampire exiting
%------------------------------------------------------------------------------