%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN194-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 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 : Tue Sep 29 01:49:53 PM UTC 2026
% Result : Unsatisfiable 2.51s 0.90s
% Output : Refutation 2.64s
% 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 : 29 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',rule_003) ).
fof(f197,axiom,
! [X0] :
( p2(X0,X0,X0)
| ~ k1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_159) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_186) ).
fof(f278,axiom,
! [X2,X0,X1] :
( n3(X0)
| ~ p2(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).
fof(f293,axiom,
! [X2,X0,X1] :
( q3(X0,X1)
| ~ q2(X2,X0,X1)
| ~ n0(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).
fof(f312,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_274) ).
fof(f366,axiom,
! [X0] :
( ~ k4(X0)
| r5(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_328) ).
fof(f369,negated_conjecture,
~ r5(c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f559,definition,
( spl0_49
<=> n3(e) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f561,plain,
( ~ n3(e)
| spl0_49 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f563,definition,
( spl0_50
<=> q3(e,b) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f565,plain,
( ~ q3(e,b)
| spl0_50 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f567,definition,
( spl0_51
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f571,definition,
( spl0_52
<=> k4(c) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f573,plain,
( k4(c)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,plain,
( ~ spl0_49
| ~ spl0_50
| ~ spl0_51
| spl0_52 ),
inference(avatar_split_clause,[],[f312,f571,f567,f563,f559]) ).
fof(f725,definition,
( spl0_91
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f726,plain,
( r0(b)
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f933,definition,
( spl0_142
<=> k1(e) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f934,plain,
( k1(e)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f935,plain,
( ~ k1(e)
| spl0_142 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f1200,definition,
( spl0_208
<=> ! [X2] : ~ r0(X2) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
fof(f1201,plain,
( ! [X2] : ~ r0(X2)
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1555,definition,
( spl0_294
<=> ! [X2,X0,X1] :
( l1(X0,X1)
| ~ m0(X1,X0,X2)
| ~ p0(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
fof(f1556,plain,
( ! [X2,X0,X1] :
( ~ p0(X2,X0)
| ~ m0(X1,X0,X2)
| l1(X0,X1) )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1557,plain,
( spl0_208
| spl0_294 ),
inference(avatar_split_clause,[],[f41,f1555,f1200]) ).
fof(f1558,plain,
spl0_51,
inference(avatar_split_clause,[],[f34,f567]) ).
fof(f1569,plain,
spl0_91,
inference(avatar_split_clause,[],[f9,f725]) ).
fof(f1575,plain,
( $false
| ~ spl0_91
| ~ spl0_208 ),
inference(resolution,[],[f1201,f726]) ).
fof(f1578,plain,
( ~ spl0_91
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f1575]) ).
fof(f1633,plain,
( ! [X0] : ~ n0(X0,e)
| spl0_142 ),
inference(resolution,[],[f39,f935]) ).
fof(f1640,plain,
( $false
| spl0_142 ),
inference(resolution,[],[f1633,f3]) ).
fof(f1643,plain,
spl0_142,
inference(avatar_contradiction_clause,[],[f1640]) ).
fof(f2255,plain,
( ! [X0] :
( ~ q2(X0,e,b)
| ~ n0(X0,e) )
| spl0_50 ),
inference(resolution,[],[f293,f565]) ).
fof(f2256,plain,
( ~ n0(e,e)
| ~ l1(b,e)
| spl0_50 ),
inference(resolution,[],[f2255,f224]) ).
fof(f2269,plain,
( ! [X0] :
( ~ m0(X0,b,c)
| l1(b,X0) )
| ~ spl0_294 ),
inference(resolution,[],[f1556,f18]) ).
fof(f2397,plain,
( l1(b,e)
| ~ spl0_294 ),
inference(resolution,[],[f2269,f27]) ).
fof(f2400,plain,
( ~ l1(b,e)
| spl0_50 ),
inference(forward_subsumption_resolution,[],[f2256,f30]) ).
fof(f2401,plain,
( $false
| spl0_50
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f2400,f2397]) ).
fof(f2402,plain,
( spl0_50
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f2401]) ).
fof(f2403,plain,
( ! [X0,X1] : ~ p2(X0,X1,e)
| spl0_49 ),
inference(resolution,[],[f561,f278]) ).
fof(f2409,plain,
( ~ k1(e)
| spl0_49 ),
inference(resolution,[],[f2403,f197]) ).
fof(f2428,plain,
( $false
| spl0_49
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f2409,f934]) ).
fof(f2429,plain,
( spl0_49
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f2428]) ).
fof(f2434,plain,
( r5(c,c)
| ~ spl0_52 ),
inference(resolution,[],[f366,f573]) ).
fof(f2435,plain,
( $false
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f2434,f369]) ).
fof(f2436,plain,
~ spl0_52,
inference(avatar_contradiction_clause,[],[f2435]) ).
cnf(s23,plain,
( ~ spl0_49
| ~ spl0_50
| ~ spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f574]) ).
cnf(s154,plain,
( spl0_208
| spl0_294 ),
inference(sat_conversion,[],[f1557]) ).
cnf(s155,plain,
spl0_51,
inference(sat_conversion,[],[f1558]) ).
cnf(s166,plain,
spl0_91,
inference(sat_conversion,[],[f1569]) ).
cnf(s172,plain,
( ~ spl0_91
| ~ spl0_208 ),
inference(sat_conversion,[],[f1578]) ).
cnf(s197,plain,
spl0_142,
inference(sat_conversion,[],[f1643]) ).
cnf(s342,plain,
( spl0_50
| ~ spl0_294 ),
inference(sat_conversion,[],[f2402]) ).
cnf(s347,plain,
( spl0_49
| ~ spl0_142 ),
inference(sat_conversion,[],[f2429]) ).
cnf(s350,plain,
~ spl0_52,
inference(sat_conversion,[],[f2436]) ).
cnf(s357,plain,
spl0_49,
inference(rat,[],[s347,s197]) ).
cnf(s362,plain,
~ spl0_208,
inference(rat,[],[s172,s166]) ).
cnf(s369,plain,
spl0_294,
inference(rat,[],[s154,s362]) ).
cnf(s370,plain,
spl0_50,
inference(rat,[],[s342,s369]) ).
cnf(s526,plain,
$false,
inference(rat,[],[s23,s350,s155,s370,s357]) ).
fof(f2437,plain,
$false,
inference(avatar_sat_refutation,[],[s526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN194-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n004.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:37:52 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.51/0.90 % (473214)Input is clausal, will run a generic CNF schedule.
% 2.51/0.90 % (473264)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=725980370:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.51/0.90 % (473260)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3169293:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.51/0.90 % (473258)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1452288227:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.51/0.90 % (473266)dis-21_1_sil=8000:lcm=predicate:random_seed=3682059893: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)
% 2.51/0.90 % (473261)lrs+10_1_sil=8000:sp=occurrence:random_seed=4055292826:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.51/0.90 % (473262)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=51739667:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.51/0.90 % (473257)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=981459148:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.51/0.90 % (473264)First to succeed.
% 2.51/0.90 % (473264)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-473214"
% 2.51/0.90 % (473261)Also succeeded, but the first one will report.
% 2.51/0.90 % (473262)Also succeeded, but the first one will report.
% 2.51/0.90 % (473266)Instruction limit reached!
% 2.51/0.90 % (473266)------------------------------
% 2.51/0.90 % (473266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/0.90 % (473266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.90 % (473266)CaDiCaL version: 2.1.3
% 2.51/0.90 % (473266)Termination reason: Instruction limit
% 2.51/0.90 % (473266)Termination phase: Saturation
% 2.51/0.90 % (473266)Time elapsed: 0.058 s
% 2.51/0.90 % (473266)Peak memory usage: 89 MB
% 2.51/0.90 % (473266)Instructions burned: 118 (million)
% 2.51/0.90 % (473264)Refutation found. Thanks to Tanya!
% 2.51/0.90 % SZS status Unsatisfiable for theBenchmark
% 2.51/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/0.90 % (473264)------------------------------
% 2.64/0.90 % (473264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/0.90 % (473264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.90 % (473264)CaDiCaL version: 2.1.3
% 2.64/0.90 % (473264)Termination reason: Refutation
% 2.64/0.90 % (473264)Time elapsed: 0.018 s
% 2.64/0.90 % (473264)Peak memory usage: 90 MB
% 2.64/0.90 % (473264)Instructions burned: 47 (million)
% 2.64/0.90 % (473264)------------------------------
% 2.64/0.90 % (473264)------------------------------
% 2.64/0.90 % (473214)Success in time 0.303 s
% 2.64/0.90 % Vampire exiting
%------------------------------------------------------------------------------