%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL110-1 : 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 : n020.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 09:38:30 AM UTC 2026
% Result : Unsatisfiable 1.20s 0.58s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 8 unt; 2 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 71 ( 41 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f1505,negated_conjecture,
c_in(c_Pair(v_x,v_yb,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,
c_in(c_Pair(v_z,v_wa,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(f1507,negated_conjecture,
! [X0] :
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),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(v_ya,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_4) ).
fof(f1508,negated_conjecture,
! [X0] :
( c_in(c_Pair(v_ya,v_xb(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_x,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_5) ).
fof(f1509,negated_conjecture,
! [X0] :
( c_in(c_Pair(X0,v_xb(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_x,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_6) ).
fof(f1510,negated_conjecture,
! [X0] :
( c_in(c_Pair(v_w,v_xaa(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_z,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_7) ).
fof(f1511,negated_conjecture,
! [X0] :
( c_in(c_Pair(X0,v_xaa(X0),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_z,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_8) ).
fof(f1538,plain,
! [X0,X1] :
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,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(v_wa,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_yb,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(resolution,[],[f32,f1507]) ).
fof(f1548,plain,
! [X0,X1] :
( ~ c_in(c_Pair(v_wa,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_yb,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_ya,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_w,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(resolution,[],[f1538,f32]) ).
fof(f1560,definition,
( spl0_9
<=> ! [X1] :
( ~ c_in(c_Pair(v_yb,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_ya,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f1561,plain,
( ! [X1] :
( ~ c_in(c_Pair(v_yb,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_ya,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1563,definition,
( spl0_10
<=> ! [X0] :
( ~ c_in(c_Pair(v_wa,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_w,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f1564,plain,
( ! [X0] :
( ~ c_in(c_Pair(v_wa,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_w,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f1565,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f1548,f1563,f1560]) ).
fof(f1567,plain,
( ~ c_in(c_Pair(v_w,v_xaa(v_wa),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ spl0_10 ),
inference(resolution,[],[f1564,f1511]) ).
fof(f1569,plain,
( ~ c_in(c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1567,f1510]) ).
fof(f1579,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1569,f1506]) ).
fof(f1580,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f1579]) ).
fof(f1581,plain,
( ~ c_in(c_Pair(v_ya,v_xb(v_yb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ spl0_9 ),
inference(resolution,[],[f1561,f1509]) ).
fof(f1593,plain,
( ~ c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1581,f1508]) ).
fof(f1594,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1593,f1505]) ).
fof(f1595,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f1594]) ).
cnf(s5,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f1565]) ).
cnf(s7,plain,
~ spl0_10,
inference(sat_conversion,[],[f1580]) ).
cnf(s9,plain,
~ spl0_9,
inference(sat_conversion,[],[f1595]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s5,s7,s9]) ).
fof(f1596,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL110-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 % Computer : n020.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 21:40:49 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.30 Running first-order model finding
% 0.23/0.30 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
% 1.20/0.58 % (599539)Will run a generic schedule for satisfiability detection.
% 1.20/0.58 % (599550)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2619924173:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.20/0.58 % (599545)% WARNING: option uhcvi not known.
% 1.20/0.58 % (599544)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=94884434_2999 on theBenchmark for (2999ds/0Mi)
% 1.20/0.58 % (599545)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2375423463:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.20/0.58 % (599549)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3897619549:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.20/0.58 % (599548)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=615074965:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.20/0.58 % (599546)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3230948942:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.20/0.58 % (599547)dis+10_1_sil=32000:sp=arity:random_seed=1544718563:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.20/0.58 % (599550)Instruction limit reached!
% 1.20/0.58 % (599550)------------------------------
% 1.20/0.58 % (599550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.58 % (599550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.58 % (599550)CaDiCaL version: 2.1.3
% 1.20/0.58 % (599550)Termination reason: Instruction limit
% 1.20/0.58 % (599550)Termination phase: Saturation
% 1.20/0.58 % (599550)Time elapsed: 0.082 s
% 1.20/0.58 % (599550)Peak memory usage: 14 MB
% 1.20/0.58 % (599550)Instructions burned: 160 (million)
% 1.20/0.58 % (599558)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=60174976:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.20/0.58 % (599547)Instruction limit reached!
% 1.20/0.58 % (599547)------------------------------
% 1.20/0.58 % (599547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.58 % (599547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.58 % (599547)CaDiCaL version: 2.1.3
% 1.20/0.58 % (599547)Termination reason: Instruction limit
% 1.20/0.58 % (599547)Termination phase: Saturation
% 1.20/0.58 % (599547)Time elapsed: 0.108 s
% 1.20/0.58 % (599547)Peak memory usage: 14 MB
% 1.20/0.58 % (599547)Instructions burned: 103 (million)
% 1.20/0.58 % (599548)Instruction limit reached!
% 1.20/0.58 % (599548)------------------------------
% 1.20/0.58 % (599548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.58 % (599548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.58 % (599548)CaDiCaL version: 2.1.3
% 1.20/0.58 % (599548)Termination reason: Instruction limit
% 1.20/0.58 % (599548)Termination phase: Saturation
% 1.20/0.58 % (599548)Time elapsed: 0.117 s
% 1.20/0.58 % (599548)Peak memory usage: 14 MB
% 1.20/0.58 % (599548)Instructions burned: 116 (million)
% 1.20/0.58 % (599549)Instruction limit reached!
% 1.20/0.58 % (599549)------------------------------
% 1.20/0.58 % (599549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.58 % (599549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.58 % (599549)CaDiCaL version: 2.1.3
% 1.20/0.58 % (599549)Termination reason: Instruction limit
% 1.20/0.58 % (599549)Termination phase: Saturation
% 1.20/0.58 % (599549)Time elapsed: 0.119 s
% 1.20/0.58 % (599549)Peak memory usage: 14 MB
% 1.20/0.58 % (599549)Instructions burned: 132 (million)
% 1.20/0.58 % TRYING [1]
% 1.20/0.58 % (599560)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4217037838:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.20/0.58 % TRYING [2]
% 1.20/0.58 % (599562)ott-21_1_sil=16000:fs=off:random_seed=2593300266:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.20/0.58 % (599561)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=3903079145:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.20/0.58 % TRYING [1]
% 1.20/0.58 % TRYING [2]
% 1.20/0.58 % (599561) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-599539-599561"...
% 1.20/0.58 % (599561)...printing done.
% 1.20/0.58 % (599561)Refutation found. Thanks to Tanya!
% 1.20/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.20/0.59 % (599561)------------------------------
% 1.20/0.59 % (599561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.59 % (599561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.59 % (599561)CaDiCaL version: 2.1.3
% 1.20/0.59 % (599561)Termination reason: Refutation
% 1.20/0.59 % (599561)Time elapsed: 0.021 s
% 1.20/0.59 % (599561)Peak memory usage: 14 MB
% 1.20/0.59 % (599561)Instructions burned: 18 (million)
% 1.20/0.59 % (599539)Success in time 0.27 s
% 1.20/0.59 % Vampire exiting
%------------------------------------------------------------------------------