%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN100-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 02:06:46 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 32
% Syntax : Number of formulae : 116 ( 21 unt; 11 def)
% Number of atoms : 288 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 332 ( 160 ~; 161 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 12 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 17 !; 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(f2,axiom,
! [X0] :
( ~ p_2(X0)
| ~ p_1(X0)
| p_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_1) ).
fof(f4,axiom,
! [X0] :
( ~ p_3(X0)
| ~ p_2(X0)
| p_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_3) ).
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(f8,axiom,
! [X0] :
( ~ p_5(X0)
| ~ p_4(X0)
| p_3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_7) ).
fof(f10,axiom,
! [X0] :
( ~ p_6(X0)
| ~ p_5(X0)
| p_4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_9) ).
fof(f12,axiom,
! [X0] :
( ~ p_7(X0)
| ~ p_6(X0)
| p_5(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_11) ).
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(f16,axiom,
! [X0] :
( ~ p_9(X0)
| ~ p_8(X0)
| p_7(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_15) ).
fof(f19,axiom,
! [X0] :
( ~ q_1(X0)
| q_0(X0)
| ~ p_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_2) ).
fof(f21,axiom,
! [X0] :
( ~ p_3(X0)
| ~ q_2(X0)
| q_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_4) ).
fof(f23,axiom,
! [X0] :
( ~ p_4(X0)
| ~ q_3(X0)
| q_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_6) ).
fof(f25,axiom,
! [X0] :
( ~ p_5(X0)
| ~ q_4(X0)
| q_3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_8) ).
fof(f27,axiom,
! [X0] :
( ~ p_6(X0)
| ~ q_5(X0)
| q_4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_10) ).
fof(f29,axiom,
! [X0] :
( ~ p_7(X0)
| ~ q_6(X0)
| q_5(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_12) ).
fof(f30,axiom,
! [X0] :
( ~ q_8(X0)
| ~ p_7(X0)
| q_6(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_13) ).
fof(f32,axiom,
! [X0] :
( ~ q_9(X0)
| ~ p_8(X0)
| q_7(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_15) ).
fof(f38,axiom,
p_8(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_1) ).
fof(f39,axiom,
p_9(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_2) ).
fof(f40,axiom,
q_8(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_3) ).
fof(f41,axiom,
q_9(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_4) ).
fof(f85,definition,
( spl0_1
<=> p_6(a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f87,plain,
( p_6(a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f89,definition,
( spl0_2
<=> p_7(a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f90,plain,
( p_7(a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( ~ p_7(a)
| spl0_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f93,plain,
( ~ q_7(a)
| p_6(a) ),
inference(resolution,[],[f15,f40]) ).
fof(f95,definition,
( spl0_3
<=> q_7(a) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f97,plain,
( ~ q_7(a)
| spl0_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f93,f95,f85]) ).
fof(f99,plain,
( ~ p_8(a)
| p_7(a) ),
inference(resolution,[],[f16,f39]) ).
fof(f100,plain,
p_7(a),
inference(forward_subsumption_resolution,[],[f99,f38]) ).
fof(f101,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f100,f91]) ).
fof(f102,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f101]) ).
fof(f103,plain,
( ~ p_5(a)
| p_4(a)
| ~ spl0_1 ),
inference(resolution,[],[f87,f10]) ).
fof(f105,definition,
( spl0_4
<=> p_4(a) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f107,plain,
( p_4(a)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f109,definition,
( spl0_5
<=> p_5(a) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f110,plain,
( p_5(a)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f111,plain,
( ~ p_5(a)
| spl0_5 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f103,f85,f109,f105]) ).
fof(f114,plain,
( ~ p_6(a)
| p_5(a)
| ~ spl0_2 ),
inference(resolution,[],[f90,f12]) ).
fof(f115,plain,
( p_5(a)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f114,f87]) ).
fof(f116,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f115,f111]) ).
fof(f117,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f118,plain,
( ~ p_3(a)
| p_2(a)
| ~ spl0_4 ),
inference(resolution,[],[f107,f6]) ).
fof(f121,definition,
( spl0_6
<=> p_2(a) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f123,plain,
( p_2(a)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl0_7
<=> p_3(a) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f126,plain,
( p_3(a)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( ~ p_3(a)
| spl0_7 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f118,f105,f125,f121]) ).
fof(f129,plain,
( ~ p_4(a)
| p_3(a)
| ~ spl0_5 ),
inference(resolution,[],[f110,f8]) ).
fof(f130,plain,
( p_3(a)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f129,f107]) ).
fof(f131,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f130,f127]) ).
fof(f132,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f131]) ).
fof(f133,plain,
( ~ p_1(a)
| p_0(a)
| ~ spl0_6 ),
inference(resolution,[],[f123,f2]) ).
fof(f135,definition,
( spl0_8
<=> p_0(a) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f137,plain,
( p_0(a)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl0_9
<=> p_1(a) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f141,plain,
( ~ p_1(a)
| spl0_9 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f133,f121,f139,f135]) ).
fof(f143,plain,
( ~ q_2(a)
| q_1(a)
| ~ spl0_7 ),
inference(resolution,[],[f126,f21]) ).
fof(f144,plain,
( ~ p_2(a)
| p_1(a)
| ~ spl0_7 ),
inference(resolution,[],[f126,f4]) ).
fof(f145,plain,
( p_1(a)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f144,f123]) ).
fof(f147,definition,
( spl0_10
<=> q_1(a) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f149,plain,
( q_1(a)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f151,definition,
( spl0_11
<=> q_2(a) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f153,plain,
( ~ q_2(a)
| spl0_11 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,plain,
( spl0_10
| ~ spl0_11
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f143,f125,f151,f147]) ).
fof(f155,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f145,f141]) ).
fof(f156,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f157,plain,
( ~ q_3(a)
| q_2(a)
| ~ spl0_4 ),
inference(resolution,[],[f23,f107]) ).
fof(f158,plain,
( ~ q_3(a)
| ~ spl0_4
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f157,f153]) ).
fof(f159,plain,
( ~ q_4(a)
| q_3(a)
| ~ spl0_5 ),
inference(resolution,[],[f25,f110]) ).
fof(f160,plain,
( ~ q_4(a)
| ~ spl0_4
| ~ spl0_5
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f159,f158]) ).
fof(f161,plain,
( ~ q_5(a)
| q_4(a)
| ~ spl0_1 ),
inference(resolution,[],[f27,f87]) ).
fof(f162,plain,
( ~ q_5(a)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f161,f160]) ).
fof(f163,plain,
( ~ q_6(a)
| q_5(a)
| ~ spl0_2 ),
inference(resolution,[],[f29,f90]) ).
fof(f164,plain,
( ~ q_6(a)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f163,f162]) ).
fof(f165,plain,
( ~ p_7(a)
| q_6(a) ),
inference(resolution,[],[f30,f40]) ).
fof(f166,plain,
( q_6(a)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f165,f90]) ).
fof(f167,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f166,f164]) ).
fof(f168,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f194,plain,
( ~ p_8(a)
| q_7(a) ),
inference(resolution,[],[f32,f41]) ).
fof(f195,plain,
q_7(a),
inference(forward_subsumption_resolution,[],[f194,f38]) ).
fof(f196,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f195,f97]) ).
fof(f197,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f196]) ).
fof(f206,plain,
( q_0(a)
| ~ p_2(a)
| ~ spl0_10 ),
inference(resolution,[],[f149,f19]) ).
fof(f207,plain,
( q_0(a)
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f206,f123]) ).
fof(f210,plain,
( ~ p_0(a)
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f207,f1]) ).
fof(f211,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f210,f137]) ).
fof(f212,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f211]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f98]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f102]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f112]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f117]) ).
cnf(s6,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f128]) ).
cnf(s7,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f132]) ).
cnf(s8,plain,
( ~ spl0_6
| spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f142]) ).
cnf(s9,plain,
( ~ spl0_7
| spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f154]) ).
cnf(s10,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f156]) ).
cnf(s11,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f168]) ).
cnf(s16,plain,
spl0_3,
inference(sat_conversion,[],[f197]) ).
cnf(s17,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f212]) ).
cnf(s20,plain,
spl0_1,
inference(rat,[],[s2,s16]) ).
cnf(s22,plain,
spl0_5,
inference(rat,[],[s5,s3,s20]) ).
cnf(s23,plain,
spl0_4,
inference(rat,[],[s4,s22,s20]) ).
cnf(s25,plain,
spl0_7,
inference(rat,[],[s7,s22,s23]) ).
cnf(s26,plain,
spl0_6,
inference(rat,[],[s6,s25,s23]) ).
cnf(s27,plain,
spl0_11,
inference(rat,[],[s11,s22,s20,s3,s23]) ).
cnf(s28,plain,
spl0_10,
inference(rat,[],[s9,s27,s25]) ).
cnf(s29,plain,
~ spl0_8,
inference(rat,[],[s17,s28,s26]) ).
cnf(s30,plain,
spl0_9,
inference(rat,[],[s10,s25,s26]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s8,s30,s29,s26]) ).
fof(f213,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN100-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:33:21 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.26 % (1274238)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (1274248)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1739128708:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26 % (1274248) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1274238-1274248"...
% 0.09/0.26 % (1274248)...printing done.
% 0.09/0.26 % (1274244)% WARNING: option uhcvi not known.
% 0.09/0.26 % (1274248)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (1274248)------------------------------
% 0.09/0.26 % (1274248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (1274248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (1274248)CaDiCaL version: 2.1.3
% 0.09/0.26 % (1274248)Termination reason: Refutation
% 0.09/0.26 % (1274248)Time elapsed: 0.002 s
% 0.09/0.26 % (1274248)Peak memory usage: 12 MB
% 0.09/0.26 % (1274248)Instructions burned: 4 (million)
% 0.09/0.26 % (1274238)Success in time 0.024 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------