%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL109-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 0.74s 0.60s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 15 unt; 2 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 21 ~; 19 |; 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 : 16 ( 0 sgn 16 !; 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/sandbox/benchmark/Axioms/COL002-1.ax',cls_Comb_Oparcontract_Ointros__3_0) ).
fof(f32,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X0,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(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)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1504,negated_conjecture,
c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1505,negated_conjecture,
c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/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_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1530,plain,
! [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)),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f1531,plain,
! [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)) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f1921,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)),
inference(consistent_polarity_flipping,[],[f1503]) ).
fof(f1922,plain,
~ c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(consistent_polarity_flipping,[],[f1504]) ).
fof(f1923,plain,
~ c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(consistent_polarity_flipping,[],[f1505]) ).
fof(f1924,plain,
! [X0] :
( 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))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(consistent_polarity_flipping,[],[f1506]) ).
fof(f3103,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),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)),
inference(resolution,[],[f1530,f1924]) ).
fof(f3582,plain,
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_xb,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))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,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)) ),
inference(resolution,[],[f1531,f3103]) ).
fof(f3607,definition,
( spl0_32
<=> c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,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_32])],[avatar_definition]) ).
fof(f3609,plain,
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,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_32 ),
inference(avatar_component_clause,[],[f3607]) ).
fof(f3611,definition,
( spl0_33
<=> c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_xb,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_33])],[avatar_definition]) ).
fof(f3613,plain,
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_xb,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_33 ),
inference(avatar_component_clause,[],[f3611]) ).
fof(f3614,plain,
( spl0_32
| spl0_33 ),
inference(avatar_split_clause,[],[f3582,f3611,f3607]) ).
fof(f3687,plain,
( c_in(c_Pair(v_yb,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_32 ),
inference(resolution,[],[f3609,f1531]) ).
fof(f3690,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_32 ),
inference(forward_subsumption_resolution,[],[f3687,f1923]) ).
fof(f3691,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f3690,f1921]) ).
fof(f3692,plain,
~ spl0_32,
inference(avatar_contradiction_clause,[],[f3691]) ).
fof(f3792,plain,
( c_in(c_Pair(v_xb,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_33 ),
inference(resolution,[],[f3613,f1531]) ).
fof(f3795,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_33 ),
inference(forward_subsumption_resolution,[],[f3792,f1922]) ).
fof(f3796,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f3795,f1921]) ).
fof(f3797,plain,
~ spl0_33,
inference(avatar_contradiction_clause,[],[f3796]) ).
cnf(s19,plain,
( spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f3614]) ).
cnf(s21,plain,
~ spl0_32,
inference(sat_conversion,[],[f3692]) ).
cnf(s24,plain,
~ spl0_33,
inference(sat_conversion,[],[f3797]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s19,s24,s21]) ).
fof(f3798,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL109-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.30 % Computer : n007.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8046.5625MB
% 0.12/0.30 % OS : Linux 6.8.0-71-generic
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Mon Sep 28 21:37:56 UTC 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.31/0.36 Running first-order model finding
% 0.31/0.36 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.74/0.60 % (2875668)Will run a generic schedule for satisfiability detection.
% 0.74/0.60 % (2875678)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=192076349:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.74/0.60 % (2875674)% WARNING: option uhcvi not known.
% 0.74/0.60 % (2875676)dis+10_1_sil=32000:sp=arity:random_seed=1275033847:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.74/0.60 % (2875679)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1803159984:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.74/0.60 % (2875677)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3697067240:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.74/0.60 % (2875675)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1710347410:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.74/0.60 % (2875673)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4214293980_2999 on theBenchmark for (2999ds/0Mi)
% 0.74/0.60 % (2875674)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1009757583:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.74/0.60 % (2875678)Instruction limit reached!
% 0.74/0.60 % (2875678)------------------------------
% 0.74/0.60 % (2875678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.60 % (2875678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.60 % (2875678)CaDiCaL version: 2.1.3
% 0.74/0.60 % (2875678)Termination reason: Instruction limit
% 0.74/0.60 % (2875678)Termination phase: Saturation
% 0.74/0.60 % (2875678)Time elapsed: 0.078 s
% 0.74/0.60 % (2875678)Peak memory usage: 14 MB
% 0.74/0.60 % (2875678)Instructions burned: 132 (million)
% 0.74/0.60 % (2875687)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2551037622:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.74/0.60 % (2875676)Instruction limit reached!
% 0.74/0.60 % (2875676)------------------------------
% 0.74/0.60 % (2875676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.60 % (2875676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.60 % (2875676)CaDiCaL version: 2.1.3
% 0.74/0.60 % (2875676)Termination reason: Instruction limit
% 0.74/0.60 % (2875676)Termination phase: Saturation
% 0.74/0.60 % (2875676)Time elapsed: 0.086 s
% 0.74/0.60 % (2875676)Peak memory usage: 13 MB
% 0.74/0.60 % (2875676)Instructions burned: 103 (million)
% 0.74/0.60 % (2875677)Instruction limit reached!
% 0.74/0.60 % (2875677)------------------------------
% 0.74/0.60 % (2875677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.60 % (2875677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.60 % (2875677)CaDiCaL version: 2.1.3
% 0.74/0.60 % (2875677)Termination reason: Instruction limit
% 0.74/0.60 % (2875677)Termination phase: Saturation
% 0.74/0.60 % (2875677)Time elapsed: 0.093 s
% 0.74/0.60 % (2875677)Peak memory usage: 14 MB
% 0.74/0.60 % (2875677)Instructions burned: 117 (million)
% 0.74/0.60 % TRYING [1]
% 0.74/0.60 % TRYING [2]
% 0.74/0.60 % (2875689)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2685763237:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.74/0.60 % TRYING [1]
% 0.74/0.60 % (2875674) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2875668-2875674"...
% 0.74/0.60 % TRYING [2]
% 0.74/0.60 % (2875690)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=878758364:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 0.74/0.60 % (2875674)...printing done.
% 0.74/0.60 % (2875674)Refutation found. Thanks to Tanya!
% 0.74/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.74/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.74/0.60 % (2875674)------------------------------
% 0.74/0.60 % (2875674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.60 % (2875674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.60 % (2875674)CaDiCaL version: 2.1.3
% 0.74/0.60 % (2875674)Termination reason: Refutation
% 0.74/0.60 % (2875674)Time elapsed: 0.112 s
% 0.74/0.60 % (2875674)Peak memory usage: 15 MB
% 0.74/0.60 % (2875674)Instructions burned: 141 (million)
% 0.74/0.60 % (2875668)Success in time 0.228 s
% 0.74/0.60 % Vampire exiting
%------------------------------------------------------------------------------