%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL092-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:38:26 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.36s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 71 ( 13 unt; 6 def)
% Number of atoms : 144 ( 22 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 146 ( 73 ~; 67 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : combK != comb_app(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_app) ).
fof(f8,axiom,
! [X0,X1] :
( ~ member(comb_app(X0,X1),comb)
| member(X1,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_E2) ).
fof(f37,axiom,
! [X0] :
( member(pair(X0,X0),parcontract)
| ~ member(X0,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',parcontract_intros1) ).
fof(f42,axiom,
! [X0] :
( ~ member(pair(combK,X0),parcontract)
| X0 = combK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_parcontractE2) ).
fof(f43,plain,
! [X0] :
( ~ member(pair(combK,X0),parcontract)
| combK = X0 ),
inference(reorient_equations,[],[f42]) ).
fof(f47,axiom,
! [X2,X0,X1] :
( ~ member(pair(comb_app(X0,X1),X2),parcontract)
| ap_parcontractE_c1(X0,X1,X2)
| ap_parcontractE_c2(X0,X1,X2)
| ap_parcontractE_c3(X0,X1,X2)
| ap_parcontractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE1) ).
fof(f48,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c1(X0,X1,X2)
| member(comb_app(X0,X1),comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE2) ).
fof(f49,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c1(X0,X1,X2)
| X2 = comb_app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE3) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ ap_parcontractE_c1(X0,X1,X2)
| comb_app(X0,X1) = X2 ),
inference(reorient_equations,[],[f49]) ).
fof(f53,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c2(X0,X1,X2)
| X0 = comb_app(combK,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE6) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ ap_parcontractE_c2(X0,X1,X2)
| comb_app(combK,X2) = X0 ),
inference(reorient_equations,[],[f53]) ).
fof(f60,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c3(X0,X1,X2)
| X0 = comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE11) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ ap_parcontractE_c3(X0,X1,X2)
| comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)) = X0 ),
inference(reorient_equations,[],[f60]) ).
fof(f62,axiom,
! [X2,X0,X1] :
( member(pair(X0,ap_parcontractE_sk2q(X0,X1,X2)),parcontract)
| ~ ap_parcontractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE12) ).
fof(f63,axiom,
! [X2,X0,X1] :
( member(pair(X1,ap_parcontractE_sk2s(X0,X1,X2)),parcontract)
| ~ ap_parcontractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE13) ).
fof(f64,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c4(X0,X1,X2)
| X2 = comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE14) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ ap_parcontractE_c4(X0,X1,X2)
| comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)) = X2 ),
inference(reorient_equations,[],[f64]) ).
fof(f66,axiom,
member(pair(comb_app(combK,p),r),parcontract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_parcontractD_h1) ).
fof(f67,negated_conjecture,
! [X0] :
( r != comb_app(combK,X0)
| ~ member(pair(p,X0),parcontract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_parcontractD_c1) ).
fof(f68,plain,
! [X0] :
( comb_app(combK,X0) != r
| ~ member(pair(p,X0),parcontract) ),
inference(reorient_equations,[],[f67]) ).
fof(f99,plain,
! [X0,X1] :
( ~ ap_parcontractE_c4(combK,X0,X1)
| combK = ap_parcontractE_sk2q(combK,X0,X1) ),
inference(resolution,[],[f62,f43]) ).
fof(f106,plain,
( ap_parcontractE_c1(combK,p,r)
| ap_parcontractE_c2(combK,p,r)
| ap_parcontractE_c3(combK,p,r)
| ap_parcontractE_c4(combK,p,r) ),
inference(resolution,[],[f47,f66]) ).
fof(f113,definition,
( spl0_5
<=> ap_parcontractE_c4(combK,p,r) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f115,plain,
( ap_parcontractE_c4(combK,p,r)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f117,definition,
( spl0_6
<=> ap_parcontractE_c3(combK,p,r) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f119,plain,
( ap_parcontractE_c3(combK,p,r)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f121,definition,
( spl0_7
<=> ap_parcontractE_c2(combK,p,r) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f123,plain,
( ap_parcontractE_c2(combK,p,r)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl0_8
<=> ap_parcontractE_c1(combK,p,r) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f127,plain,
( ap_parcontractE_c1(combK,p,r)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f106,f125,f121,f117,f113]) ).
fof(f129,plain,
( combK = ap_parcontractE_sk2q(combK,p,r)
| ~ spl0_5 ),
inference(resolution,[],[f115,f99]) ).
fof(f130,plain,
( r = comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r))
| ~ spl0_5 ),
inference(resolution,[],[f115,f65]) ).
fof(f141,plain,
( r = comb_app(combK,ap_parcontractE_sk2s(combK,p,r))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f130,f129]) ).
fof(f151,plain,
( r != r
| ~ member(pair(p,ap_parcontractE_sk2s(combK,p,r)),parcontract)
| ~ spl0_5 ),
inference(superposition,[],[f68,f141]) ).
fof(f170,plain,
( ~ member(pair(p,ap_parcontractE_sk2s(combK,p,r)),parcontract)
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f151]) ).
fof(f172,definition,
( spl0_9
<=> member(r,comb) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f242,plain,
( ~ ap_parcontractE_c4(combK,p,r)
| ~ spl0_5 ),
inference(resolution,[],[f170,f63]) ).
fof(f243,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f242,f115]) ).
fof(f244,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f246,plain,
( combK = comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r))
| ~ spl0_6 ),
inference(resolution,[],[f119,f61]) ).
fof(f248,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f246,f2]) ).
fof(f249,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f250,plain,
( combK = comb_app(combK,r)
| ~ spl0_7 ),
inference(resolution,[],[f123,f54]) ).
fof(f255,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f250,f2]) ).
fof(f256,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f257,plain,
( comb_app(combK,p) = r
| ~ spl0_8 ),
inference(resolution,[],[f127,f50]) ).
fof(f258,plain,
( member(comb_app(combK,p),comb)
| ~ spl0_8 ),
inference(resolution,[],[f127,f48]) ).
fof(f264,plain,
( r != r
| ~ member(pair(p,p),parcontract)
| ~ spl0_8 ),
inference(superposition,[],[f68,f257]) ).
fof(f272,plain,
( ~ member(r,comb)
| member(p,comb)
| ~ spl0_8 ),
inference(superposition,[],[f8,f257]) ).
fof(f283,plain,
( ~ member(pair(p,p),parcontract)
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f264]) ).
fof(f291,definition,
( spl0_23
<=> member(p,comb) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f293,plain,
( ~ member(p,comb)
| spl0_23 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f334,plain,
( ~ member(p,comb)
| ~ spl0_8 ),
inference(resolution,[],[f283,f37]) ).
fof(f335,plain,
( ~ spl0_23
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f334,f125,f291]) ).
fof(f360,plain,
( member(r,comb)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f258,f257]) ).
fof(f363,plain,
( ~ member(r,comb)
| ~ spl0_8
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f272,f293]) ).
fof(f364,plain,
( spl0_9
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f360,f125,f172]) ).
fof(f365,plain,
( ~ spl0_9
| ~ spl0_8
| spl0_23 ),
inference(avatar_split_clause,[],[f363,f291,f125,f172]) ).
cnf(s5,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f128]) ).
cnf(s17,plain,
~ spl0_5,
inference(sat_conversion,[],[f244]) ).
cnf(s18,plain,
~ spl0_6,
inference(sat_conversion,[],[f249]) ).
cnf(s20,plain,
~ spl0_7,
inference(sat_conversion,[],[f256]) ).
cnf(s30,plain,
( ~ spl0_8
| ~ spl0_23 ),
inference(sat_conversion,[],[f335]) ).
cnf(s32,plain,
( ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f364]) ).
cnf(s33,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_23 ),
inference(sat_conversion,[],[f365]) ).
cnf(s34,plain,
spl0_8,
inference(rat,[],[s5,s20,s18,s17]) ).
cnf(s35,plain,
spl0_9,
inference(rat,[],[s32,s34]) ).
cnf(s36,plain,
~ spl0_23,
inference(rat,[],[s30,s34]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s33,s34,s36,s35]) ).
fof(f366,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COL092-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n009.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 21:35:45 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.28 Running first-order model finding
% 0.24/0.29 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
% 0.24/0.36 % (3516716)Will run a generic schedule for satisfiability detection.
% 0.24/0.36 % (3516723)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1037787502:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.36 % (3516721)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=265681805_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.36 % (3516722)% WARNING: option uhcvi not known.
% 0.24/0.36 % TRYING [1]
% 0.24/0.36 % TRYING [2]
% 0.24/0.36 % TRYING [3]
% 0.24/0.36 % (3516725)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2259563632:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.36 % (3516724)dis+10_1_sil=32000:sp=arity:random_seed=2163180936:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.36 % (3516722)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3433981445:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.36 % (3516726)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3203412568:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.36 % (3516727)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3443076039:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.36 % (3516724) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3516716-3516724"...
% 0.24/0.36 % (3516724)...printing done.
% 0.24/0.36 % TRYING [4]
% 0.24/0.36 % (3516724)Refutation found. Thanks to Tanya!
% 0.24/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.36 % (3516724)------------------------------
% 0.24/0.36 % (3516724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.36 % (3516724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.36 % (3516724)CaDiCaL version: 2.1.3
% 0.24/0.36 % (3516724)Termination reason: Refutation
% 0.24/0.36 % (3516724)Time elapsed: 0.015 s
% 0.24/0.36 % (3516724)Peak memory usage: 12 MB
% 0.24/0.36 % (3516724)Instructions burned: 13 (million)
% 0.24/0.36 % (3516716)Success in time 0.055 s
% 0.24/0.36 % Vampire exiting
%------------------------------------------------------------------------------