%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:36:33 AM UTC 2026
% Result : Unsatisfiable 3.08s 1.20s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 86 ( 19 unt; 5 def)
% Number of atoms : 208 ( 20 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 240 ( 118 ~; 117 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( product(X0,X1,compose(X0,X1))
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_composition) ).
fof(f2,axiom,
! [X2,X0,X1] :
( defined(X0,X1)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_property1) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X5)
| product(X0,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',category_theory_axiom2) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( defined(X3,X0)
| ~ defined(X3,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',category_theory_axiom3) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X0,X5)
| product(X5,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',category_theory_axiom5) ).
fof(f9,axiom,
! [X2,X0,X1] :
( defined(X0,X2)
| ~ defined(X1,X2)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',category_theory_axiom6) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_is_an_identity_map) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_is_an_identity_map) ).
fof(f12,axiom,
! [X0] : defined(X0,domain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mapping_from_x_to_its_domain) ).
fof(f14,axiom,
! [X0] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_on_domain) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_on_codomain) ).
fof(f16,axiom,
! [X0,X1] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity1) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_is_well_defined) ).
fof(f19,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_equals_c) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ product(X0,c,X1)
| ~ product(X2,c,X1)
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product) ).
fof(f21,axiom,
product(h,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ha_equals_d) ).
fof(f22,axiom,
product(g,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ga_equals_d) ).
fof(f23,negated_conjecture,
h != g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_h_equals_g) ).
fof(f24,plain,
! [X0,X1] :
( ~ product(X0,c,compose(X1,c))
| X0 = X1
| ~ defined(X1,c) ),
inference(resolution,[],[f20,f1]) ).
fof(f57,plain,
! [X0,X1] :
( ~ product(X0,domain(X0),X1)
| X0 = X1 ),
inference(resolution,[],[f18,f14]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| compose(X0,X1) = X2
| ~ defined(X0,X1) ),
inference(resolution,[],[f18,f1]) ).
fof(f62,plain,
! [X0] :
( ~ product(a,b,X0)
| c = X0 ),
inference(resolution,[],[f18,f19]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| compose(X0,X1) = X2 ),
inference(forward_subsumption_resolution,[],[f58,f2]) ).
fof(f69,plain,
( c = compose(a,b)
| ~ defined(a,b) ),
inference(resolution,[],[f62,f1]) ).
fof(f73,definition,
( spl0_3
<=> defined(a,b) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f75,plain,
( ~ defined(a,b)
| spl0_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f95,definition,
( spl0_8
<=> c = compose(a,b) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f97,plain,
( c = compose(a,b)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f69,f95,f73]) ).
fof(f102,plain,
( ! [X0] : ~ product(a,b,X0)
| spl0_3 ),
inference(resolution,[],[f75,f2]) ).
fof(f139,definition,
( spl0_14
<=> defined(g,a) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f140,plain,
( defined(g,a)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( ~ defined(g,a)
| spl0_14 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f160,plain,
( ! [X0] : ~ product(g,a,X0)
| spl0_14 ),
inference(resolution,[],[f141,f2]) ).
fof(f163,plain,
! [X0] :
( domain(X0) = X0
| ~ identity_map(X0)
| ~ defined(X0,domain(X0)) ),
inference(resolution,[],[f57,f16]) ).
fof(f165,plain,
! [X0] :
( ~ identity_map(X0)
| domain(X0) = X0 ),
inference(forward_subsumption_resolution,[],[f163,f12]) ).
fof(f167,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f102,f19]) ).
fof(f171,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f172,plain,
( product(a,b,compose(a,b))
| ~ spl0_8 ),
inference(backward_demodulation,[],[f19,f97]) ).
fof(f174,plain,
( ! [X0,X1] :
( ~ product(X0,compose(a,b),compose(X1,compose(a,b)))
| X0 = X1
| ~ defined(X1,c) )
| ~ spl0_8 ),
inference(backward_demodulation,[],[f24,f97]) ).
fof(f203,plain,
( ! [X0,X1] :
( ~ product(X0,compose(a,b),compose(X1,compose(a,b)))
| ~ defined(X1,compose(a,b))
| X0 = X1 )
| ~ spl0_8 ),
inference(forward_demodulation,[],[f174,f97]) ).
fof(f206,plain,
! [X0] : codomain(X0) = domain(codomain(X0)),
inference(resolution,[],[f165,f11]) ).
fof(f231,plain,
( $false
| spl0_14 ),
inference(resolution,[],[f160,f22]) ).
fof(f235,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f231]) ).
fof(f552,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| product(codomain(X0),X3,X2) ),
inference(resolution,[],[f5,f15]) ).
fof(f555,plain,
! [X2,X0,X1] :
( ~ product(d,X0,X1)
| ~ product(a,X0,X2)
| product(h,X2,X1) ),
inference(resolution,[],[f5,f21]) ).
fof(f773,plain,
( ! [X0] :
( ~ product(a,b,X0)
| product(codomain(a),X0,compose(a,b)) )
| ~ spl0_8 ),
inference(resolution,[],[f552,f172]) ).
fof(f810,plain,
( ! [X2,X0,X1] :
( ~ product(X0,compose(a,b),X1)
| ~ product(X0,a,X2)
| product(X2,b,X1) )
| ~ spl0_8 ),
inference(resolution,[],[f8,f172]) ).
fof(f888,plain,
( ! [X0,X1] :
( ~ product(X0,a,X1)
| product(X1,b,compose(X0,compose(a,b)))
| ~ defined(X0,compose(a,b)) )
| ~ spl0_8 ),
inference(resolution,[],[f810,f1]) ).
fof(f1028,plain,
( product(codomain(a),compose(a,b),compose(a,b))
| ~ spl0_8 ),
inference(resolution,[],[f773,f172]) ).
fof(f1738,plain,
( product(d,b,compose(g,compose(a,b)))
| ~ defined(g,compose(a,b))
| ~ spl0_8 ),
inference(resolution,[],[f888,f22]) ).
fof(f1740,definition,
( spl0_26
<=> defined(g,compose(a,b)) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f1741,plain,
( defined(g,compose(a,b))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f1742,plain,
( ~ defined(g,compose(a,b))
| spl0_26 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f1744,definition,
( spl0_27
<=> product(d,b,compose(g,compose(a,b))) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1746,plain,
( product(d,b,compose(g,compose(a,b)))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f1744]) ).
fof(f1747,plain,
( ~ spl0_26
| spl0_27
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1738,f95,f1744,f1740]) ).
fof(f1782,plain,
( ! [X0] :
( ~ identity_map(X0)
| ~ defined(X0,compose(a,b))
| ~ defined(g,X0) )
| spl0_26 ),
inference(resolution,[],[f1742,f9]) ).
fof(f1908,plain,
( ! [X0] :
( ~ defined(domain(X0),compose(a,b))
| ~ defined(g,domain(X0)) )
| spl0_26 ),
inference(resolution,[],[f1782,f10]) ).
fof(f1995,plain,
( ! [X0,X1] :
( ~ product(domain(X0),compose(a,b),X1)
| ~ defined(g,domain(X0)) )
| spl0_26 ),
inference(resolution,[],[f1908,f2]) ).
fof(f2107,plain,
( ! [X0,X1] :
( ~ product(codomain(X0),compose(a,b),X1)
| ~ defined(g,codomain(X0)) )
| spl0_26 ),
inference(superposition,[],[f1995,f206]) ).
fof(f2176,plain,
( ~ defined(g,codomain(a))
| ~ spl0_8
| spl0_26 ),
inference(resolution,[],[f2107,f1028]) ).
fof(f2202,plain,
( ! [X0,X1] :
( ~ product(codomain(a),X1,X0)
| ~ defined(g,X0) )
| ~ spl0_8
| spl0_26 ),
inference(resolution,[],[f2176,f6]) ).
fof(f2222,plain,
( ~ defined(g,a)
| ~ spl0_8
| spl0_26 ),
inference(resolution,[],[f2202,f15]) ).
fof(f2229,plain,
( $false
| ~ spl0_8
| ~ spl0_14
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f2222,f140]) ).
fof(f2230,plain,
( ~ spl0_8
| ~ spl0_14
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f2229]) ).
fof(f2262,plain,
( ! [X0] :
( ~ product(a,b,X0)
| product(h,X0,compose(g,compose(a,b))) )
| ~ spl0_27 ),
inference(resolution,[],[f1746,f555]) ).
fof(f2266,plain,
( compose(g,compose(a,b)) = compose(d,b)
| ~ spl0_27 ),
inference(resolution,[],[f1746,f67]) ).
fof(f2282,plain,
( ! [X0] :
( ~ product(a,b,X0)
| product(h,X0,compose(d,b)) )
| ~ spl0_27 ),
inference(forward_demodulation,[],[f2262,f2266]) ).
fof(f2316,plain,
( ! [X0] :
( ~ product(X0,compose(a,b),compose(d,b))
| ~ defined(g,compose(a,b))
| g = X0 )
| ~ spl0_8
| ~ spl0_27 ),
inference(superposition,[],[f203,f2266]) ).
fof(f2319,plain,
( ! [X0] :
( ~ product(X0,compose(a,b),compose(d,b))
| g = X0 )
| ~ spl0_8
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f2316,f1741]) ).
fof(f2973,plain,
( product(h,compose(a,b),compose(d,b))
| ~ spl0_8
| ~ spl0_27 ),
inference(resolution,[],[f2282,f172]) ).
fof(f3151,plain,
( h = g
| ~ spl0_8
| ~ spl0_26
| ~ spl0_27 ),
inference(resolution,[],[f2319,f2973]) ).
fof(f3153,plain,
( $false
| ~ spl0_8
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f3151,f23]) ).
fof(f3154,plain,
( ~ spl0_8
| ~ spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f3153]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f98]) ).
cnf(s11,plain,
spl0_3,
inference(sat_conversion,[],[f171]) ).
cnf(s13,plain,
spl0_14,
inference(sat_conversion,[],[f235]) ).
cnf(s23,plain,
( ~ spl0_8
| ~ spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f1747]) ).
cnf(s25,plain,
( ~ spl0_8
| ~ spl0_14
| spl0_26 ),
inference(sat_conversion,[],[f2230]) ).
cnf(s36,plain,
( ~ spl0_8
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f3154]) ).
cnf(s48,plain,
spl0_8,
inference(rat,[],[s4,s11]) ).
cnf(s49,plain,
spl0_26,
inference(rat,[],[s25,s13,s48]) ).
cnf(s52,plain,
~ spl0_27,
inference(rat,[],[s36,s48,s49]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s23,s48,s52,s49]) ).
fof(f3155,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 21:13:01 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.08/1.20 % (3793139)Input is clausal, will run a generic CNF schedule.
% 3.08/1.20 % (3793149)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4011639729:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.08/1.20 % (3793144)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=693087257:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.08/1.20 % (3793148)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=945328865:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.08/1.20 % (3793147)lrs+10_1_sil=8000:sp=occurrence:random_seed=2450795219:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.08/1.20 % (3793150)dis-21_1_sil=8000:lcm=predicate:random_seed=2302182201: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)
% 3.08/1.20 % (3793146)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3007192354:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.08/1.20 % (3793145)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1542208013:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.08/1.20 % (3793147)Refutation not found, incomplete strategy
% 3.08/1.20 % (3793147)------------------------------
% 3.08/1.20 % (3793147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.20 % (3793147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.20 % (3793147)CaDiCaL version: 2.1.3
% 3.08/1.20 % (3793147)Termination reason: Refutation not found, incomplete strategy
% 3.08/1.20 % (3793147)Time elapsed: 0.002 s
% 3.08/1.20 % (3793147)Peak memory usage: 87 MB
% 3.08/1.20 % (3793147)Instructions burned: 1 (million)
% 3.08/1.20 % (3793149)Instruction limit reached!
% 3.08/1.20 % (3793149)------------------------------
% 3.08/1.20 % (3793149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.20 % (3793149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.20 % (3793149)CaDiCaL version: 2.1.3
% 3.08/1.20 % (3793149)Termination reason: Instruction limit
% 3.08/1.20 % (3793149)Termination phase: Saturation
% 3.08/1.20 % (3793149)Time elapsed: 0.060 s
% 3.08/1.20 % (3793149)Peak memory usage: 89 MB
% 3.08/1.20 % (3793149)Instructions burned: 182 (million)
% 3.08/1.20 % (3793150)Instruction limit reached!
% 3.08/1.20 % (3793150)------------------------------
% 3.08/1.20 % (3793150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.20 % (3793150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.20 % (3793150)CaDiCaL version: 2.1.3
% 3.08/1.20 % (3793150)Termination reason: Instruction limit
% 3.08/1.20 % (3793150)Termination phase: Saturation
% 3.08/1.20 % (3793150)Time elapsed: 0.064 s
% 3.08/1.20 % (3793150)Peak memory usage: 88 MB
% 3.08/1.20 % (3793150)Instructions burned: 119 (million)
% 3.08/1.20 % (3793148)Instruction limit reached!
% 3.08/1.20 % (3793148)------------------------------
% 3.08/1.20 % (3793148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.20 % (3793148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.20 % (3793148)CaDiCaL version: 2.1.3
% 3.08/1.20 % (3793148)Termination reason: Instruction limit
% 3.08/1.20 % (3793148)Termination phase: Saturation
% 3.08/1.20 % (3793148)Time elapsed: 0.072 s
% 3.08/1.20 % (3793148)Peak memory usage: 88 MB
% 3.08/1.20 % (3793148)Instructions burned: 118 (million)
% 3.08/1.20 % (3793158)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1652342658:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.08/1.20 % (3793158)Refutation not found, incomplete strategy
% 3.08/1.20 % (3793158)------------------------------
% 3.08/1.20 % (3793158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.20 % (3793158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.20 % (3793158)CaDiCaL version: 2.1.3
% 3.08/1.20 % (3793158)Termination reason: Refutation not found, incomplete strategy
% 3.08/1.20 % (3793158)Time elapsed: 0.001 s
% 3.08/1.20 % (3793158)Peak memory usage: 88 MB
% 3.08/1.20 % (3793158)Instructions burned: 1 (million)
% 3.08/1.20 % (3793159)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3147410239:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.08/1.20 % (3793160)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1876410526:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.08/1.20 % (3793147)------------------------------
% 3.08/1.20 % (3793147)------------------------------
% 3.08/1.20 % (3793158)------------------------------
% 3.08/1.20 % (3793158)------------------------------
% 3.08/1.20 % (3793159)Instruction limit reached!
% 3.08/1.20 % (3793159)------------------------------
% 3.08/1.20 % (3793159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.20 % (3793159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.20 % (3793159)CaDiCaL version: 2.1.3
% 3.08/1.20 % (3793159)Termination reason: Instruction limit
% 3.08/1.20 % (3793159)Termination phase: Saturation
% 3.08/1.20 % (3793159)Time elapsed: 0.104 s
% 3.08/1.20 % (3793159)Peak memory usage: 88 MB
% 3.08/1.20 % (3793159)Instructions burned: 189 (million)
% 3.08/1.20 % (3793160)Instruction limit reached!
% 3.08/1.20 % (3793160)------------------------------
% 3.08/1.20 % (3793160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.20 % (3793160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.20 % (3793160)CaDiCaL version: 2.1.3
% 3.08/1.20 % (3793160)Termination reason: Instruction limit
% 3.08/1.20 % (3793160)Termination phase: Saturation
% 3.08/1.20 % (3793160)Time elapsed: 0.141 s
% 3.08/1.20 % (3793160)Peak memory usage: 89 MB
% 3.08/1.20 % (3793160)Instructions burned: 219 (million)
% 3.08/1.20 % (3793165)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=489801166:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 3.08/1.20 % (3793164)lrs+10_64_to=lpo:sil=8000:random_seed=2873731104:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 3.08/1.20 % (3793165)First to succeed.
% 3.08/1.20 % (3793165)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3793139"
% 3.08/1.20 % (3793166)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2758224247:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 3.08/1.20 % (3793164)Instruction limit reached!
% 3.08/1.20 % (3793164)------------------------------
% 3.08/1.20 % (3793164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.20 % (3793164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.20 % (3793164)CaDiCaL version: 2.1.3
% 3.08/1.20 % (3793164)Termination reason: Instruction limit
% 3.08/1.20 % (3793164)Termination phase: Saturation
% 3.08/1.20 % (3793164)Time elapsed: 0.081 s
% 3.08/1.20 % (3793164)Peak memory usage: 89 MB
% 3.08/1.20 % (3793164)Instructions burned: 126 (million)
% 3.08/1.20 % (3793167)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1965094455:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 3.08/1.20 % (3793166)Instruction limit reached!
% 3.08/1.20 % (3793166)------------------------------
% 3.08/1.20 % (3793166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.20 % (3793166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.20 % (3793166)CaDiCaL version: 2.1.3
% 3.08/1.20 % (3793166)Termination reason: Instruction limit
% 3.08/1.20 % (3793166)Termination phase: Saturation
% 3.08/1.20 % (3793166)Time elapsed: 0.108 s
% 3.08/1.20 % (3793166)Peak memory usage: 90 MB
% 3.08/1.20 % (3793166)Instructions burned: 157 (million)
% 3.08/1.20 % (3793165)Refutation found. Thanks to Tanya!
% 3.08/1.20 % SZS status Unsatisfiable for theBenchmark
% 3.08/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.40 % (3793165)------------------------------
% 0.20/1.40 % (3793165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.40 % (3793165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.40 % (3793165)CaDiCaL version: 2.1.3
% 0.20/1.40 % (3793165)Termination reason: Refutation
% 0.20/1.40 % (3793165)Time elapsed: 0.060 s
% 0.20/1.40 % (3793165)Peak memory usage: 90 MB
% 0.20/1.40 % (3793165)Instructions burned: 154 (million)
% 0.20/1.40 % (3793165)------------------------------
% 0.20/1.40 % (3793165)------------------------------
% 0.20/1.40 % (3793139)Success in time 0.79 s
% 0.20/1.40 % Vampire exiting
%------------------------------------------------------------------------------