%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL117-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 09:38:32 AM UTC 2026
% Result : Unsatisfiable 0.93s 0.37s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 2 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 21 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-4 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,axiom,
! [X2,X0,X1] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X0),X1),X2),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(X0,X2),c_Comb_Ocomb_Oop_A_D_D(X1,X2)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/Axioms/COL002-1.ax',cls_Comb_Oparcontract_Ointros__3_0) ).
fof(f32,axiom,
! [X2,X3,X0,X1] :
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X2,X0),c_Comb_Ocomb_Oop_A_D_D(X3,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COL002-1.ax',cls_Comb_Oparcontract_Ointros__4_0) ).
fof(f1503,negated_conjecture,
c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1504,negated_conjecture,
c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1505,negated_conjecture,
c_in(c_Pair(v_ya,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1506,negated_conjecture,
! [X0] :
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1514,plain,
! [X0,X1] :
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),c_Comb_Ocomb_Oop_A_D_D(X0,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(resolution,[],[f32,f1506]) ).
fof(f1525,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(resolution,[],[f1514,f31]) ).
fof(f1545,definition,
( spl0_7
<=> c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1547,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| spl0_7 ),
inference(avatar_component_clause,[],[f1545]) ).
fof(f1549,definition,
( spl0_8
<=> c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f1551,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| spl0_8 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f1552,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1525,f1549,f1545]) ).
fof(f1553,plain,
( ~ c_in(c_Pair(v_ya,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| spl0_8 ),
inference(resolution,[],[f1551,f32]) ).
fof(f1554,plain,
( ~ c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f1553,f1505]) ).
fof(f1555,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f1554,f1503]) ).
fof(f1556,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f1555]) ).
fof(f1557,plain,
( ~ c_in(c_Pair(v_x,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| spl0_7 ),
inference(resolution,[],[f1547,f32]) ).
fof(f1558,plain,
( ~ c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f1557,f1504]) ).
fof(f1559,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f1558,f1503]) ).
fof(f1560,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f1559]) ).
cnf(s4,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f1552]) ).
cnf(s5,plain,
spl0_8,
inference(sat_conversion,[],[f1556]) ).
cnf(s6,plain,
spl0_7,
inference(sat_conversion,[],[f1560]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s4,s5,s6]) ).
fof(f1561,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL117-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.16 % Computer : n015.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 21:44:17 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 Running first-order model finding
% 0.08/0.19 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
% 0.93/0.37 % (3065749)Will run a generic schedule for satisfiability detection.
% 0.93/0.37 % (3065771)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1020458172:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.93/0.37 % (3065770)% WARNING: option uhcvi not known.
% 0.93/0.37 % (3065770)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1671887459:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.93/0.37 % (3065769)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1972860166_2999 on theBenchmark for (2999ds/0Mi)
% 0.93/0.37 % (3065772)dis+10_1_sil=32000:sp=arity:random_seed=174598608:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.93/0.37 % (3065773)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3154435778:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.93/0.37 % (3065775)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3576975032:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.93/0.37 % (3065774)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4292767321:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.93/0.37 % (3065772)Instruction limit reached!
% 0.93/0.37 % (3065772)------------------------------
% 0.93/0.37 % (3065772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.37 % (3065772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.37 % (3065772)CaDiCaL version: 2.1.3
% 0.93/0.37 % (3065772)Termination reason: Instruction limit
% 0.93/0.37 % (3065772)Termination phase: Saturation
% 0.93/0.37 % (3065772)Time elapsed: 0.068 s
% 0.93/0.37 % (3065772)Peak memory usage: 13 MB
% 0.93/0.37 % (3065772)Instructions burned: 103 (million)
% 0.93/0.37 % (3065773)Instruction limit reached!
% 0.93/0.37 % (3065773)------------------------------
% 0.93/0.37 % (3065773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.37 % (3065773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.37 % (3065773)CaDiCaL version: 2.1.3
% 0.93/0.37 % (3065773)Termination reason: Instruction limit
% 0.93/0.37 % (3065773)Termination phase: Saturation
% 0.93/0.37 % (3065773)Time elapsed: 0.073 s
% 0.93/0.37 % (3065773)Peak memory usage: 14 MB
% 0.93/0.37 % (3065773)Instructions burned: 117 (million)
% 0.93/0.37 % (3065774)Instruction limit reached!
% 0.93/0.37 % (3065774)------------------------------
% 0.93/0.37 % (3065774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.37 % (3065774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.37 % (3065774)CaDiCaL version: 2.1.3
% 0.93/0.37 % (3065774)Termination reason: Instruction limit
% 0.93/0.37 % (3065774)Termination phase: Saturation
% 0.93/0.37 % (3065774)Time elapsed: 0.072 s
% 0.93/0.37 % (3065774)Peak memory usage: 14 MB
% 0.93/0.37 % (3065774)Instructions burned: 131 (million)
% 0.93/0.37 % TRYING [1]
% 0.93/0.37 % TRYING [2]
% 0.93/0.37 % (3065787)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3561204657:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.93/0.37 % (3065788)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3251513256:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.93/0.37 % (3065789)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=150601981:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.93/0.37 % (3065775)Instruction limit reached!
% 0.93/0.37 % (3065775)------------------------------
% 0.93/0.37 % (3065775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.37 % (3065775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.37 % (3065775)CaDiCaL version: 2.1.3
% 0.93/0.37 % (3065775)Termination reason: Instruction limit
% 0.93/0.37 % (3065775)Termination phase: Saturation
% 0.93/0.37 % (3065775)Time elapsed: 0.096 s
% 0.93/0.37 % (3065775)Peak memory usage: 14 MB
% 0.93/0.37 % (3065775)Instructions burned: 159 (million)
% 0.93/0.37 % (3065789) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3065749-3065789"...
% 0.93/0.37 % (3065789)...printing done.
% 0.93/0.37 % (3065789)Refutation found. Thanks to Tanya!
% 0.93/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.93/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.93/0.37 % (3065789)------------------------------
% 0.93/0.37 % (3065789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.37 % (3065789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.37 % (3065789)CaDiCaL version: 2.1.3
% 0.93/0.37 % (3065789)Termination reason: Refutation
% 0.93/0.37 % (3065789)Time elapsed: 0.011 s
% 0.93/0.37 % (3065789)Peak memory usage: 13 MB
% 0.93/0.37 % (3065789)Instructions burned: 17 (million)
% 0.93/0.37 % (3065749)Success in time 0.173 s
% 0.93/0.37 % Vampire exiting
%------------------------------------------------------------------------------