%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN141-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:49:45 PM UTC 2026
% Result : Unsatisfiable 3.86s 1.32s
% Output : Refutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 69 ( 21 unt; 8 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 129 ( 62 ~; 59 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 9 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( l1(X0,X1)
| ~ p0(X2,X0)
| ~ r0(X3)
| ~ m0(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_003) ).
fof(f197,axiom,
! [X0] :
( p2(X0,X0,X0)
| ~ k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_159) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).
fof(f278,axiom,
! [X2,X0,X1] :
( n3(X0)
| ~ p2(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
fof(f293,axiom,
! [X2,X0,X1] :
( q3(X0,X1)
| ~ q2(X2,X0,X1)
| ~ n0(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).
fof(f312,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_274) ).
fof(f342,axiom,
! [X0] :
( ~ k4(X0)
| m5(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_304) ).
fof(f369,negated_conjecture,
! [X0] : ~ m5(c,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f563,definition,
( spl0_50
<=> n3(e) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f565,plain,
( ~ n3(e)
| spl0_50 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f567,definition,
( spl0_51
<=> q3(e,b) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f569,plain,
( ~ q3(e,b)
| spl0_51 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f571,definition,
( spl0_52
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f575,definition,
( spl0_53
<=> k4(c) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f577,plain,
( k4(c)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f578,plain,
( ~ spl0_50
| ~ spl0_51
| ~ spl0_52
| spl0_53 ),
inference(avatar_split_clause,[],[f312,f575,f571,f567,f563]) ).
fof(f729,definition,
( spl0_92
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f730,plain,
( r0(b)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f937,definition,
( spl0_143
<=> k1(e) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f938,plain,
( k1(e)
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f939,plain,
( ~ k1(e)
| spl0_143 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f1208,definition,
( spl0_210
<=> ! [X2] : ~ r0(X2) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
fof(f1209,plain,
( ! [X2] : ~ r0(X2)
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1563,definition,
( spl0_296
<=> ! [X2,X0,X1] :
( l1(X0,X1)
| ~ m0(X1,X0,X2)
| ~ p0(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).
fof(f1564,plain,
( ! [X2,X0,X1] :
( ~ p0(X2,X0)
| ~ m0(X1,X0,X2)
| l1(X0,X1) )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f1565,plain,
( spl0_210
| spl0_296 ),
inference(avatar_split_clause,[],[f41,f1563,f1208]) ).
fof(f1566,plain,
spl0_52,
inference(avatar_split_clause,[],[f34,f571]) ).
fof(f1577,plain,
spl0_92,
inference(avatar_split_clause,[],[f9,f729]) ).
fof(f1583,plain,
( $false
| ~ spl0_92
| ~ spl0_210 ),
inference(resolution,[],[f1209,f730]) ).
fof(f1586,plain,
( ~ spl0_92
| ~ spl0_210 ),
inference(avatar_contradiction_clause,[],[f1583]) ).
fof(f1641,plain,
( ! [X0] : ~ n0(X0,e)
| spl0_143 ),
inference(resolution,[],[f39,f939]) ).
fof(f1651,plain,
( $false
| spl0_143 ),
inference(resolution,[],[f1641,f3]) ).
fof(f1654,plain,
spl0_143,
inference(avatar_contradiction_clause,[],[f1651]) ).
fof(f1758,plain,
( ! [X0,X1] : ~ p2(X0,X1,e)
| spl0_50 ),
inference(resolution,[],[f278,f565]) ).
fof(f1763,plain,
( ~ k1(e)
| spl0_50 ),
inference(resolution,[],[f1758,f197]) ).
fof(f1764,plain,
( $false
| spl0_50
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f1763,f938]) ).
fof(f1765,plain,
( spl0_50
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f1764]) ).
fof(f2256,plain,
( ! [X0] :
( ~ q2(X0,e,b)
| ~ n0(X0,e) )
| spl0_51 ),
inference(resolution,[],[f293,f569]) ).
fof(f2300,plain,
( ! [X0] :
( ~ m0(X0,b,c)
| l1(b,X0) )
| ~ spl0_296 ),
inference(resolution,[],[f1564,f18]) ).
fof(f2404,plain,
( ~ n0(e,e)
| ~ l1(b,e)
| spl0_51 ),
inference(resolution,[],[f2256,f224]) ).
fof(f2405,plain,
( l1(b,e)
| ~ spl0_296 ),
inference(resolution,[],[f2300,f27]) ).
fof(f2408,plain,
( ~ l1(b,e)
| spl0_51 ),
inference(forward_subsumption_resolution,[],[f2404,f30]) ).
fof(f2409,plain,
( $false
| spl0_51
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f2408,f2405]) ).
fof(f2410,plain,
( spl0_51
| ~ spl0_296 ),
inference(avatar_contradiction_clause,[],[f2409]) ).
fof(f2413,plain,
( m5(c,c)
| ~ spl0_53 ),
inference(resolution,[],[f342,f577]) ).
fof(f2414,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f2413,f369]) ).
fof(f2415,plain,
~ spl0_53,
inference(avatar_contradiction_clause,[],[f2414]) ).
cnf(s24,plain,
( ~ spl0_50
| ~ spl0_51
| ~ spl0_52
| spl0_53 ),
inference(sat_conversion,[],[f578]) ).
cnf(s155,plain,
( spl0_210
| spl0_296 ),
inference(sat_conversion,[],[f1565]) ).
cnf(s156,plain,
spl0_52,
inference(sat_conversion,[],[f1566]) ).
cnf(s167,plain,
spl0_92,
inference(sat_conversion,[],[f1577]) ).
cnf(s173,plain,
( ~ spl0_92
| ~ spl0_210 ),
inference(sat_conversion,[],[f1586]) ).
cnf(s199,plain,
spl0_143,
inference(sat_conversion,[],[f1654]) ).
cnf(s239,plain,
( spl0_50
| ~ spl0_143 ),
inference(sat_conversion,[],[f1765]) ).
cnf(s336,plain,
( spl0_51
| ~ spl0_296 ),
inference(sat_conversion,[],[f2410]) ).
cnf(s338,plain,
~ spl0_53,
inference(sat_conversion,[],[f2415]) ).
cnf(s345,plain,
spl0_50,
inference(rat,[],[s239,s199]) ).
cnf(s350,plain,
~ spl0_210,
inference(rat,[],[s173,s167]) ).
cnf(s356,plain,
spl0_296,
inference(rat,[],[s155,s350]) ).
cnf(s357,plain,
spl0_51,
inference(rat,[],[s336,s356]) ).
cnf(s502,plain,
$false,
inference(rat,[],[s24,s338,s156,s357,s345]) ).
fof(f2416,plain,
$false,
inference(avatar_sat_refutation,[],[s502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN141-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n019.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 15:36:48 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 3.86/1.31 % (4096780)Input is clausal, will run a generic CNF schedule.
% 3.86/1.31 % (4096791)dis-21_1_sil=8000:lcm=predicate:random_seed=2247281819: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)
% 3.86/1.31 % (4096791)Instruction limit reached!
% 3.86/1.31 % (4096791)------------------------------
% 3.86/1.31 % (4096791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.31 % (4096791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.31 % (4096791)CaDiCaL version: 2.1.3
% 3.86/1.31 % (4096791)Termination reason: Instruction limit
% 3.86/1.31 % (4096791)Termination phase: Saturation
% 3.86/1.31 % (4096791)Time elapsed: 0.030 s
% 3.86/1.31 % (4096791)Peak memory usage: 89 MB
% 3.86/1.31 % (4096791)Instructions burned: 119 (million)
% 3.86/1.31 % (4096786)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=451119151:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.86/1.31 % (4096790)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3975269858:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.86/1.32 % (4096788)lrs+10_1_sil=8000:sp=occurrence:random_seed=215938531:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.86/1.32 % (4096785)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=1863299419:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.86/1.32 % (4096787)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2384052063:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.86/1.32 % (4096789)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=962314149:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.86/1.32 % (4096788)Refutation not found, incomplete strategy
% 3.86/1.32 % (4096788)------------------------------
% 3.86/1.32 % (4096788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.32 % (4096788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.32 % (4096788)CaDiCaL version: 2.1.3
% 3.86/1.32 % (4096788)Termination reason: Refutation not found, incomplete strategy
% 3.86/1.32 % (4096788)Time elapsed: 0.025 s
% 3.86/1.32 % (4096788)Peak memory usage: 89 MB
% 3.86/1.32 % (4096788)Instructions burned: 34 (million)
% 3.86/1.32 % (4096790)First to succeed.
% 3.86/1.32 % (4096790)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4096780"
% 3.86/1.32 % (4096789)Also succeeded, but the first one will report.
% 3.86/1.32 % (4096793)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3346865699:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.86/1.32 % (4096793)Refutation not found, incomplete strategy
% 3.86/1.32 % (4096793)------------------------------
% 3.86/1.32 % (4096793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.32 % (4096793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.32 % (4096793)CaDiCaL version: 2.1.3
% 3.86/1.32 % (4096793)Termination reason: Refutation not found, incomplete strategy
% 3.86/1.32 % (4096793)Time elapsed: 0.001 s
% 3.86/1.32 % (4096793)Peak memory usage: 87 MB
% 3.86/1.32 % (4096793)Instructions burned: 1 (million)
% 3.86/1.32 % (4096788)------------------------------
% 3.86/1.32 % (4096788)------------------------------
% 3.86/1.32 % (4096793)------------------------------
% 3.86/1.32 % (4096793)------------------------------
% 3.86/1.32 % (4096790)Refutation found. Thanks to Tanya!
% 3.86/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.86/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.86/1.32 % (4096790)------------------------------
% 3.86/1.32 % (4096790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.32 % (4096790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.32 % (4096790)CaDiCaL version: 2.1.3
% 3.86/1.32 % (4096790)Termination reason: Refutation
% 3.86/1.32 % (4096790)Time elapsed: 0.030 s
% 3.86/1.32 % (4096790)Peak memory usage: 90 MB
% 3.86/1.32 % (4096790)Instructions burned: 45 (million)
% 3.86/1.32 % (4096790)------------------------------
% 3.86/1.32 % (4096790)------------------------------
% 3.86/1.32 % (4096780)Success in time 0.461 s
% 3.86/1.32 % Vampire exiting
%------------------------------------------------------------------------------