%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG039-2 : 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 : n004.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 12:35:15 PM UTC 2026
% Result : Unsatisfiable 18.91s 3.65s
% Output : Refutation 18.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 42 ( 21 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 75 ( 38 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ product(X2,X3,X0)
| ~ equalish(X0,X1)
| product(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f13,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f15,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X1,X6)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
fof(f25,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4) ).
fof(f28,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f29,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f34,axiom,
! [X0] : sum(X0,X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f37,axiom,
! [X0] : equalish(multiply(X0,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f40,axiom,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f46,axiom,
! [X0,X1] : product(a,multiply(b,X0),multiply(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f54,axiom,
! [X0,X1] : product(multiply(X0,X1),X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f74,negated_conjecture,
~ equalish(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ product(multiply(X0,X1),X1,X2)
| equalish(X2,multiply(X0,X1)) ),
inference(resolution,[],[f54,f29]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ product(a,multiply(b,X0),X1)
| equalish(X1,multiply(X2,X0)) ),
inference(resolution,[],[f46,f29]) ).
fof(f124,plain,
! [X0,X1] : equalish(multiply(multiply(X0,X1),X1),multiply(X0,X1)),
inference(resolution,[],[f88,f15]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X1,X5)
| ~ sum(X3,X0,X4)
| ~ product(X0,X1,X2)
| sum(X5,X2,multiply(X4,X1)) ),
inference(resolution,[],[f24,f15]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X0,X3),X4,multiply(X2,X3)) ),
inference(resolution,[],[f207,f15]) ).
fof(f257,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X0,X3),multiply(X1,X3),multiply(X2,X3))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f232,f15]) ).
fof(f312,plain,
! [X0,X1] :
( ~ sum(X0,X0,X1)
| equalish(X1,additive_identity) ),
inference(resolution,[],[f34,f28]) ).
fof(f317,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(X1,X1))
| equalish(X0,X1) ),
inference(resolution,[],[f37,f12]) ).
fof(f320,plain,
! [X0] : equalish(multiply(multiply(X0,X0),X0),X0),
inference(resolution,[],[f317,f124]) ).
fof(f528,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(multiply(X1,X1),X1))
| equalish(X0,X1) ),
inference(resolution,[],[f320,f12]) ).
fof(f545,plain,
! [X2,X0,X1] :
( ~ sum(X2,X2,X0)
| equalish(multiply(X0,X1),additive_identity) ),
inference(resolution,[],[f312,f257]) ).
fof(f563,plain,
! [X0,X1] : equalish(multiply(add(X0,X0),X1),additive_identity),
inference(resolution,[],[f545,f40]) ).
fof(f611,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,multiply(X3,X1),X5)
| ~ sum(X0,X3,X4)
| ~ product(X0,X1,X2)
| product(X4,X1,X5) ),
inference(resolution,[],[f25,f15]) ).
fof(f5473,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),X2)
| product(X0,X1,X2) ),
inference(resolution,[],[f10,f15]) ).
fof(f5621,plain,
! [X0,X1] : product(add(X0,X0),X1,additive_identity),
inference(resolution,[],[f5473,f563]) ).
fof(f6079,plain,
! [X2,X0,X1] : equalish(multiply(X0,X1),multiply(X2,X1)),
inference(resolution,[],[f95,f46]) ).
fof(f6101,plain,
! [X2,X0,X1] : product(X0,X1,multiply(X2,X1)),
inference(resolution,[],[f6079,f5473]) ).
fof(f6107,plain,
! [X0,X1] : equalish(multiply(X0,X1),X1),
inference(resolution,[],[f6079,f528]) ).
fof(f6176,plain,
! [X0,X1] : product(X0,X1,X1),
inference(resolution,[],[f6107,f5473]) ).
fof(f6212,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| equalish(X2,X1) ),
inference(resolution,[],[f6176,f29]) ).
fof(f6299,plain,
! [X0] : equalish(additive_identity,X0),
inference(resolution,[],[f6212,f5621]) ).
fof(f10447,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ product(X0,X3,multiply(X1,X3))
| product(X2,X3,additive_identity) ),
inference(resolution,[],[f611,f34]) ).
fof(f10534,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X2,X3,additive_identity) ),
inference(forward_subsumption_resolution,[],[f10447,f6101]) ).
fof(f10728,plain,
! [X0,X1] : product(X0,X1,additive_identity),
inference(resolution,[],[f10534,f13]) ).
fof(f10785,plain,
! [X2,X0,X1] :
( ~ equalish(additive_identity,X0)
| product(X1,X2,X0) ),
inference(resolution,[],[f10728,f10]) ).
fof(f10849,plain,
! [X2,X0,X1] : product(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f10785,f6299]) ).
fof(f10879,plain,
! [X0,X1] : equalish(X0,X1),
inference(resolution,[],[f10849,f6212]) ).
fof(f11083,plain,
$false,
inference(resolution,[],[f10879,f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG039-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n004.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 23:01:07 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 9.29/2.17 % (3987036)Input is clausal, will run a generic CNF schedule.
% 9.29/2.17 % (3987108)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3123488717:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.29/2.17 % (3987108)Instruction limit reached!
% 9.29/2.17 % (3987108)------------------------------
% 9.29/2.17 % (3987108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.17 % (3987108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.17 % (3987108)CaDiCaL version: 2.1.3
% 9.29/2.17 % (3987108)Termination reason: Instruction limit
% 9.29/2.17 % (3987108)Termination phase: Saturation
% 9.29/2.17 % (3987108)Time elapsed: 0.034 s
% 9.29/2.17 % (3987108)Peak memory usage: 89 MB
% 9.29/2.17 % (3987108)Instructions burned: 117 (million)
% 9.29/2.17 % (3987105)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2839749157:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.29/2.17 % (3987107)lrs+10_1_sil=8000:sp=occurrence:random_seed=32325653:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.29/2.17 % (3987106)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=974532363:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.29/2.17 % (3987110)dis-21_1_sil=8000:lcm=predicate:random_seed=568625858: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)
% 9.29/2.17 % (3987104)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=270572784:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.29/2.17 % (3987109)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3292001323:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.29/2.17 % (3987107)Instruction limit reached!
% 9.29/2.17 % (3987107)------------------------------
% 9.29/2.17 % (3987107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.17 % (3987107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.17 % (3987107)CaDiCaL version: 2.1.3
% 9.29/2.17 % (3987107)Termination reason: Instruction limit
% 9.29/2.17 % (3987107)Termination phase: Saturation
% 9.29/2.17 % (3987107)Time elapsed: 0.065 s
% 9.29/2.17 % (3987107)Peak memory usage: 89 MB
% 9.29/2.17 % (3987107)Instructions burned: 107 (million)
% 9.29/2.17 % (3987110)Instruction limit reached!
% 9.29/2.17 % (3987110)------------------------------
% 9.29/2.17 % (3987110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.17 % (3987110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.17 % (3987110)CaDiCaL version: 2.1.3
% 9.29/2.17 % (3987110)Termination reason: Instruction limit
% 9.29/2.17 % (3987110)Termination phase: Saturation
% 9.29/2.17 % (3987110)Time elapsed: 0.068 s
% 9.29/2.17 % (3987110)Peak memory usage: 89 MB
% 9.29/2.17 % (3987110)Instructions burned: 118 (million)
% 9.29/2.17 % (3987109)Instruction limit reached!
% 9.29/2.17 % (3987109)------------------------------
% 9.29/2.17 % (3987109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.17 % (3987109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.17 % (3987109)CaDiCaL version: 2.1.3
% 9.29/2.17 % (3987109)Termination reason: Instruction limit
% 9.29/2.17 % (3987109)Termination phase: Saturation
% 9.29/2.17 % (3987109)Time elapsed: 0.100 s
% 9.29/2.17 % (3987109)Peak memory usage: 89 MB
% 9.29/2.17 % (3987109)Instructions burned: 180 (million)
% 9.29/2.17 % (3987117)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=2577640243:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.29/2.17 % (3987117)Instruction limit reached!
% 9.29/2.17 % (3987117)------------------------------
% 9.29/2.17 % (3987117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.17 % (3987117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.17 % (3987117)CaDiCaL version: 2.1.3
% 9.29/2.17 % (3987117)Termination reason: Instruction limit
% 9.29/2.17 % (3987117)Termination phase: Saturation
% 9.29/2.17 % (3987117)Time elapsed: 0.048 s
% 9.29/2.17 % (3987117)Peak memory usage: 89 MB
% 9.29/2.17 % (3987117)Instructions burned: 144 (million)
% 9.29/2.17 % (3987119)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3049954547: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)
% 18.22/3.45 % (3987120)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2566498110:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 18.22/3.45 % (3987121)lrs+10_64_to=lpo:sil=8000:random_seed=3011576911:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 18.22/3.45 % (3987123)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3743359402:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 18.22/3.45 % (3987123)Instruction limit reached!
% 18.22/3.45 % (3987123)------------------------------
% 18.22/3.45 % (3987123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.45 % (3987123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.45 % (3987123)CaDiCaL version: 2.1.3
% 18.22/3.45 % (3987123)Termination reason: Instruction limit
% 18.22/3.45 % (3987123)Termination phase: Saturation
% 18.22/3.45 % (3987123)Time elapsed: 0.037 s
% 18.22/3.45 % (3987123)Peak memory usage: 87 MB
% 18.22/3.45 % (3987123)Instructions burned: 195 (million)
% 18.22/3.45 % (3987119)Instruction limit reached!
% 18.22/3.45 % (3987119)------------------------------
% 18.22/3.45 % (3987119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.45 % (3987119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.45 % (3987119)CaDiCaL version: 2.1.3
% 18.22/3.45 % (3987119)Termination reason: Instruction limit
% 18.22/3.45 % (3987119)Termination phase: Saturation
% 18.22/3.45 % (3987119)Time elapsed: 0.099 s
% 18.22/3.45 % (3987119)Peak memory usage: 89 MB
% 18.22/3.45 % (3987119)Instructions burned: 190 (million)
% 18.22/3.45 % (3987121)Instruction limit reached!
% 18.22/3.45 % (3987121)------------------------------
% 18.22/3.45 % (3987121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.45 % (3987121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.45 % (3987121)CaDiCaL version: 2.1.3
% 18.22/3.45 % (3987121)Termination reason: Instruction limit
% 18.22/3.45 % (3987121)Termination phase: Saturation
% 18.22/3.45 % (3987121)Time elapsed: 0.075 s
% 18.22/3.45 % (3987121)Peak memory usage: 90 MB
% 18.22/3.45 % (3987121)Instructions burned: 127 (million)
% 18.22/3.45 % (3987120)Instruction limit reached!
% 18.22/3.45 % (3987120)------------------------------
% 18.22/3.45 % (3987120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.45 % (3987120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.45 % (3987120)CaDiCaL version: 2.1.3
% 18.22/3.45 % (3987120)Termination reason: Instruction limit
% 18.22/3.45 % (3987120)Termination phase: Saturation
% 18.22/3.45 % (3987120)Time elapsed: 0.124 s
% 18.22/3.45 % (3987120)Peak memory usage: 90 MB
% 18.22/3.45 % (3987120)Instructions burned: 220 (million)
% 18.22/3.45 % (3987128)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1799638331:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 18.22/3.45 % (3987129)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=297548136:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 18.22/3.45 % (3987128)Instruction limit reached!
% 18.22/3.45 % (3987128)------------------------------
% 18.22/3.45 % (3987128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.45 % (3987128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.45 % (3987128)CaDiCaL version: 2.1.3
% 18.22/3.45 % (3987128)Termination reason: Instruction limit
% 18.22/3.45 % (3987128)Termination phase: Saturation
% 18.22/3.45 % (3987128)Time elapsed: 0.053 s
% 18.22/3.45 % (3987128)Peak memory usage: 90 MB
% 18.22/3.45 % (3987128)Instructions burned: 157 (million)
% 18.22/3.45 % (3987130)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2084344547:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 18.22/3.45 % (3987131)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3498102714:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 18.22/3.45 % (3987130)Instruction limit reached!
% 18.22/3.45 % (3987130)------------------------------
% 18.22/3.45 % (3987130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.45 % (3987130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.45 % (3987130)CaDiCaL version: 2.1.3
% 18.22/3.45 % (3987130)Termination reason: Instruction limit
% 18.22/3.45 % (3987130)Termination phase: Saturation
% 18.22/3.45 % (3987130)Time elapsed: 0.056 s
% 18.22/3.45 % (3987130)Peak memory usage: 89 MB
% 18.22/3.45 % (3987130)Instructions burned: 107 (million)
% 18.22/3.45 % (3987131)Instruction limit reached!
% 18.22/3.45 % (3987131)------------------------------
% 18.22/3.45 % (3987131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.45 % (3987131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.45 % (3987131)CaDiCaL version: 2.1.3
% 18.22/3.45 % (3987131)Termination reason: Instruction limit
% 18.22/3.45 % (3987131)Termination phase: Saturation
% 18.22/3.45 % (3987131)Time elapsed: 0.059 s
% 18.22/3.45 % (3987131)Peak memory usage: 89 MB
% 18.22/3.45 % (3987131)Instructions burned: 107 (million)
% 18.22/3.45 % (3987135)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1697008573:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 18.22/3.45 % (3987135)Instruction limit reached!
% 18.22/3.45 % (3987135)------------------------------
% 18.22/3.45 % (3987135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.45 % (3987135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.45 % (3987135)CaDiCaL version: 2.1.3
% 18.22/3.45 % (3987135)Termination reason: Instruction limit
% 18.22/3.45 % (3987135)Termination phase: Saturation
% 18.22/3.45 % (3987135)Time elapsed: 0.080 s
% 18.22/3.45 % (3987135)Peak memory usage: 90 MB
% 18.22/3.45 % (3987135)Instructions burned: 243 (million)
% 18.22/3.45 % (3987137)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3296679925:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 18.22/3.45 % (3987138)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3216535896:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 18.22/3.45 % (3987138)Instruction limit reached!
% 18.22/3.45 % (3987138)------------------------------
% 18.22/3.45 % (3987138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.45 % (3987138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.45 % (3987138)CaDiCaL version: 2.1.3
% 18.22/3.45 % (3987138)Termination reason: Instruction limit
% 18.22/3.45 % (3987138)Termination phase: Saturation
% 18.22/3.45 % (3987138)Time elapsed: 0.050 s
% 18.22/3.45 % (3987138)Peak memory usage: 87 MB
% 18.22/3.45 % (3987138)Instructions burned: 136 (million)
% 18.22/3.45 % (3987140)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1111333260:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 18.22/3.45 % (3987143)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4179232473:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 18.22/3.45 % (3987140)Instruction limit reached!
% 18.22/3.45 % (3987140)------------------------------
% 18.22/3.45 % (3987140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.45 % (3987140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.45 % (3987140)CaDiCaL version: 2.1.3
% 18.22/3.45 % (3987140)Termination reason: Instruction limit
% 18.22/3.45 % (3987140)Termination phase: Saturation
% 18.22/3.45 % (3987140)Time elapsed: 0.136 s
% 18.22/3.45 % (3987140)Peak memory usage: 94 MB
% 18.22/3.45 % (3987140)Instructions burned: 502 (million)
% 18.22/3.45 % (3987143)Instruction limit reached!
% 18.22/3.45 % (3987143)------------------------------
% 18.22/3.45 % (3987143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.45 % (3987143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.45 % (3987143)CaDiCaL version: 2.1.3
% 18.22/3.45 % (3987143)Termination reason: Instruction limit
% 18.22/3.45 % (3987143)Termination phase: Saturation
% 18.22/3.45 % (3987143)Time elapsed: 0.104 s
% 18.22/3.45 % (3987143)Peak memory usage: 90 MB
% 18.22/3.45 % (3987143)Instructions burned: 193 (million)
% 18.22/3.45 % (3987146)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1226534331:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 18.22/3.45 % (3987146)Instruction limit reached!
% 18.22/3.45 % (3987146)------------------------------
% 18.91/3.65 % (3987146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.65 % (3987146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.65 % (3987146)CaDiCaL version: 2.1.3
% 18.91/3.65 % (3987146)Termination reason: Instruction limit
% 18.91/3.65 % (3987146)Termination phase: Saturation
% 18.91/3.65 % (3987146)Time elapsed: 0.081 s
% 18.91/3.65 % (3987146)Peak memory usage: 91 MB
% 18.91/3.65 % (3987146)Instructions burned: 265 (million)
% 18.91/3.65 % (3987147)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3788468238:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 18.91/3.65 % (3987149)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1024555119:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 18.91/3.65 % (3987147)Instruction limit reached!
% 18.91/3.65 % (3987147)------------------------------
% 18.91/3.65 % (3987147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.65 % (3987147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.65 % (3987147)CaDiCaL version: 2.1.3
% 18.91/3.65 % (3987147)Termination reason: Instruction limit
% 18.91/3.65 % (3987147)Termination phase: Saturation
% 18.91/3.65 % (3987147)Time elapsed: 0.107 s
% 18.91/3.65 % (3987147)Peak memory usage: 90 MB
% 18.91/3.65 % (3987147)Instructions burned: 156 (million)
% 18.91/3.65 % (3987152)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3073762014:i=537:av=off:ss=included_2985 on theBenchmark for (2985ds/537Mi)
% 18.91/3.65 % (3987152)Instruction limit reached!
% 18.91/3.65 % (3987152)------------------------------
% 18.91/3.65 % (3987152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.65 % (3987152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.65 % (3987152)CaDiCaL version: 2.1.3
% 18.91/3.65 % (3987152)Termination reason: Instruction limit
% 18.91/3.65 % (3987152)Termination phase: Saturation
% 18.91/3.65 % (3987152)Time elapsed: 0.187 s
% 18.91/3.65 % (3987152)Peak memory usage: 87 MB
% 18.91/3.65 % (3987152)Instructions burned: 540 (million)
% 18.91/3.65 % (3987154)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2828438389:i=180:bd=preordered:av=off_2982 on theBenchmark for (2982ds/180Mi)
% 18.91/3.65 % (3987154)Instruction limit reached!
% 18.91/3.65 % (3987154)------------------------------
% 18.91/3.65 % (3987154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.65 % (3987154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.65 % (3987154)CaDiCaL version: 2.1.3
% 18.91/3.65 % (3987154)Termination reason: Instruction limit
% 18.91/3.65 % (3987154)Termination phase: Saturation
% 18.91/3.65 % (3987154)Time elapsed: 0.095 s
% 18.91/3.65 % (3987154)Peak memory usage: 90 MB
% 18.91/3.65 % (3987154)Instructions burned: 180 (million)
% 18.91/3.65 % (3987156)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3264810873:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2979 on theBenchmark for (2979ds/10307Mi)
% 18.91/3.65 % (3987104)First to succeed.
% 18.91/3.65 % (3987104)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3987036"
% 18.91/3.65 % (3987149)Instruction limit reached!
% 18.91/3.65 % (3987149)------------------------------
% 18.91/3.65 % (3987149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.65 % (3987149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.65 % (3987149)CaDiCaL version: 2.1.3
% 18.91/3.65 % (3987149)Termination reason: Instruction limit
% 18.91/3.65 % (3987149)Termination phase: Saturation
% 18.91/3.65 % (3987149)Time elapsed: 0.988 s
% 18.91/3.65 % (3987149)Peak memory usage: 155 MB
% 18.91/3.65 % (3987149)Instructions burned: 3260 (million)
% 18.91/3.65 % (3987158)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=3209264893:i=412:gtgl=4:gtg=exists_all_2975 on theBenchmark for (2975ds/412Mi)
% 18.91/3.65 % (3987104)Refutation found. Thanks to Tanya!
% 18.91/3.65 % SZS status Unsatisfiable for theBenchmark
% 18.91/3.65 % SZS output start Proof for theBenchmark
% See solution above
% 18.91/3.65 % (3987104)------------------------------
% 18.91/3.65 % (3987104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.65 % (3987104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.65 % (3987104)CaDiCaL version: 2.1.3
% 18.91/3.65 % (3987104)Termination reason: Refutation
% 18.91/3.65 % (3987104)Time elapsed: 2.157 s
% 18.91/3.65 % (3987104)Peak memory usage: 151 MB
% 18.91/3.65 % (3987104)Instructions burned: 3457 (million)
% 18.91/3.65 % (3987104)------------------------------
% 18.91/3.65 % (3987104)------------------------------
% 18.91/3.65 % (3987036)Success in time 2.591 s
% 18.91/3.65 % Vampire exiting
%------------------------------------------------------------------------------