%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:35:05 PM UTC 2026
% Result : Unsatisfiable 10.44s 2.35s
% Output : Refutation 11.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 66 ( 33 unt; 0 def)
% Number of atoms : 126 ( 32 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 121 ( 61 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 175 ( 175 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f5,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,X3,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition1) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_multiplication2) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X5,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f14,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/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f15,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/sandbox/benchmark/theBenchmark.p',distributivity4) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f18,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_squared_is_x) ).
fof(f19,negated_conjecture,
~ sum(a,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_plus_a_is_id) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( ~ sum(X3,X0,additive_identity)
| ~ sum(X0,X1,X2)
| sum(X3,X2,X1) ),
inference(resolution,[],[f7,f1]) ).
fof(f32,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f16,f2]) ).
fof(f34,plain,
! [X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| additive_identity = X1 ),
inference(resolution,[],[f16,f6]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f4,f16]) ).
fof(f46,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f4,f9]) ).
fof(f47,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(resolution,[],[f42,f2]) ).
fof(f49,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(resolution,[],[f42,f6]) ).
fof(f52,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[],[f46,f42]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| sum(X0,X2,X1) ),
inference(resolution,[],[f23,f6]) ).
fof(f75,plain,
! [X2,X0,X1] :
( sum(additive_inverse(X0),X2,X1)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f23,f5]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| product(X2,X1,X3) ),
inference(resolution,[],[f11,f18]) ).
fof(f98,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X1,X3)
| ~ sum(X2,X1,X4)
| product(X3,X1,X4) ),
inference(resolution,[],[f15,f18]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X5)
| ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X5,X2,multiply(X0,X4)) ),
inference(resolution,[],[f3,f12]) ).
fof(f109,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,[],[f3,f14]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f3,f17]) ).
fof(f112,plain,
! [X0] : multiply(X0,X0) = X0,
inference(resolution,[],[f111,f18]) ).
fof(f125,plain,
! [X0] : sum(X0,additive_identity,additive_inverse(additive_inverse(X0))),
inference(resolution,[],[f74,f6]) ).
fof(f126,plain,
! [X0,X1] : sum(X0,add(additive_inverse(X0),X1),X1),
inference(resolution,[],[f74,f4]) ).
fof(f128,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(resolution,[],[f125,f32]) ).
fof(f152,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(resolution,[],[f126,f42]) ).
fof(f166,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = X0,
inference(superposition,[],[f152,f52]) ).
fof(f212,plain,
! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,X0,additive_inverse(additive_inverse(X1))) ),
inference(resolution,[],[f34,f75]) ).
fof(f217,plain,
! [X0,X1] :
( ~ sum(X1,X0,X1)
| additive_identity = X0 ),
inference(forward_demodulation,[],[f212,f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X3,X2)) ),
inference(resolution,[],[f107,f3]) ).
fof(f296,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f294,f3]) ).
fof(f303,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X3,X2) = add(multiply(X3,X0),multiply(X3,X1)) ),
inference(resolution,[],[f296,f42]) ).
fof(f306,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = multiply(X2,X1) ),
inference(resolution,[],[f296,f217]) ).
fof(f319,plain,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X2),multiply(X0,X1)),
inference(resolution,[],[f303,f46]) ).
fof(f352,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(resolution,[],[f306,f1]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X0,X3),X4,multiply(X2,X3)) ),
inference(resolution,[],[f109,f3]) ).
fof(f381,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X0,X3),multiply(X1,X3),multiply(X2,X3))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f377,f3]) ).
fof(f396,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = multiply(X1,X2) ),
inference(resolution,[],[f381,f217]) ).
fof(f483,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(resolution,[],[f396,f1]) ).
fof(f1055,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(multiply(X0,X1),X0),
inference(superposition,[],[f319,f112]) ).
fof(f3640,plain,
! [X2,X3,X0,X1] :
( ~ sum(multiply(X0,X1),X1,X3)
| ~ sum(X0,X1,X2)
| product(X2,X1,X3) ),
inference(resolution,[],[f98,f3]) ).
fof(f3656,plain,
! [X2,X0,X1] :
( product(X2,X1,add(multiply(X0,X1),X1))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f3640,f4]) ).
fof(f4005,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| product(X2,X1,add(multiply(X3,X1),X1))
| ~ sum(X3,X1,X0) ),
inference(resolution,[],[f96,f3656]) ).
fof(f4014,plain,
! [X2,X0,X1] :
( product(multiply(X0,X1),X1,add(multiply(X2,X1),X1))
| ~ sum(X2,X1,X0) ),
inference(resolution,[],[f4005,f3]) ).
fof(f4042,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(multiply(X0,X1),X1) = multiply(multiply(X2,X1),X1) ),
inference(resolution,[],[f4014,f111]) ).
fof(f4119,plain,
! [X0] : add(multiply(additive_inverse(X0),X0),X0) = multiply(multiply(additive_identity,X0),X0),
inference(resolution,[],[f4042,f5]) ).
fof(f4137,plain,
! [X0] : multiply(additive_identity,X0) = add(multiply(additive_inverse(X0),X0),X0),
inference(forward_demodulation,[],[f4119,f483]) ).
fof(f4155,plain,
! [X0] : additive_identity = add(multiply(additive_inverse(X0),X0),X0),
inference(forward_demodulation,[],[f4137,f483]) ).
fof(f4223,plain,
! [X0] : add(X0,additive_identity) = multiply(additive_inverse(additive_inverse(X0)),additive_inverse(X0)),
inference(superposition,[],[f166,f4155]) ).
fof(f4226,plain,
! [X0] : add(X0,additive_identity) = multiply(X0,additive_inverse(X0)),
inference(forward_demodulation,[],[f4223,f128]) ).
fof(f4252,plain,
! [X0] : multiply(X0,additive_inverse(X0)) = X0,
inference(forward_demodulation,[],[f4226,f47]) ).
fof(f4291,plain,
! [X0] : add(X0,X0) = multiply(X0,add(X0,additive_inverse(X0))),
inference(superposition,[],[f1055,f4252]) ).
fof(f4312,plain,
! [X0] : multiply(X0,additive_identity) = add(X0,X0),
inference(forward_demodulation,[],[f4291,f49]) ).
fof(f4318,plain,
! [X0] : additive_identity = add(X0,X0),
inference(forward_demodulation,[],[f4312,f352]) ).
fof(f4487,plain,
! [X0] : sum(X0,X0,additive_identity),
inference(superposition,[],[f46,f4318]) ).
fof(f4605,plain,
$false,
inference(resolution,[],[f4487,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:58:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.44/2.35 % (2861036)Input is clausal, will run a generic CNF schedule.
% 10.44/2.35 % (2861043)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=302072507:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.44/2.35 % (2861045)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=173568177:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.44/2.35 % (2861047)dis-21_1_sil=8000:lcm=predicate:random_seed=1332571813: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)
% 10.44/2.35 % (2861044)lrs+10_1_sil=8000:sp=occurrence:random_seed=2167721496:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.44/2.35 % (2861041)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=4114804979:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.44/2.35 % (2861042)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=72409886:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.44/2.35 % (2861046)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3349993297:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.44/2.35 % (2861045)Instruction limit reached!
% 10.44/2.35 % (2861045)------------------------------
% 10.44/2.35 % (2861045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861045)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861045)Termination reason: Instruction limit
% 10.44/2.35 % (2861045)Termination phase: Saturation
% 10.44/2.35 % (2861045)Time elapsed: 0.058 s
% 10.44/2.35 % (2861045)Peak memory usage: 87 MB
% 10.44/2.35 % (2861045)Instructions burned: 114 (million)
% 10.44/2.35 % (2861047)Instruction limit reached!
% 10.44/2.35 % (2861047)------------------------------
% 10.44/2.35 % (2861047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861047)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861047)Termination reason: Instruction limit
% 10.44/2.35 % (2861047)Termination phase: Saturation
% 10.44/2.35 % (2861047)Time elapsed: 0.059 s
% 10.44/2.35 % (2861047)Peak memory usage: 87 MB
% 10.44/2.35 % (2861047)Instructions burned: 119 (million)
% 10.44/2.35 % (2861044)Instruction limit reached!
% 10.44/2.35 % (2861044)------------------------------
% 10.44/2.35 % (2861044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861044)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861044)Termination reason: Instruction limit
% 10.44/2.35 % (2861044)Termination phase: Saturation
% 10.44/2.35 % (2861044)Time elapsed: 0.067 s
% 10.44/2.35 % (2861044)Peak memory usage: 87 MB
% 10.44/2.35 % (2861044)Instructions burned: 107 (million)
% 10.44/2.35 % (2861046)Instruction limit reached!
% 10.44/2.35 % (2861046)------------------------------
% 10.44/2.35 % (2861046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861046)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861046)Termination reason: Instruction limit
% 10.44/2.35 % (2861046)Termination phase: Saturation
% 10.44/2.35 % (2861046)Time elapsed: 0.104 s
% 10.44/2.35 % (2861046)Peak memory usage: 88 MB
% 10.44/2.35 % (2861046)Instructions burned: 183 (million)
% 10.44/2.35 % (2861056)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=873929128: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)
% 10.44/2.35 % (2861055)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=1873022112:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.44/2.35 % (2861057)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=467079669:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.44/2.35 % (2861058)lrs+10_64_to=lpo:sil=8000:random_seed=3078161300:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 10.44/2.35 % (2861055)Instruction limit reached!
% 10.44/2.35 % (2861055)------------------------------
% 10.44/2.35 % (2861055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861055)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861055)Termination reason: Instruction limit
% 10.44/2.35 % (2861055)Termination phase: Saturation
% 10.44/2.35 % (2861055)Time elapsed: 0.091 s
% 10.44/2.35 % (2861055)Peak memory usage: 88 MB
% 10.44/2.35 % (2861055)Instructions burned: 143 (million)
% 10.44/2.35 % (2861056)Instruction limit reached!
% 10.44/2.35 % (2861056)------------------------------
% 10.44/2.35 % (2861056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861056)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861056)Termination reason: Instruction limit
% 10.44/2.35 % (2861056)Termination phase: Saturation
% 10.44/2.35 % (2861056)Time elapsed: 0.104 s
% 10.44/2.35 % (2861056)Peak memory usage: 89 MB
% 10.44/2.35 % (2861056)Instructions burned: 190 (million)
% 10.44/2.35 % (2861058)Instruction limit reached!
% 10.44/2.35 % (2861058)------------------------------
% 10.44/2.35 % (2861058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861058)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861058)Termination reason: Instruction limit
% 10.44/2.35 % (2861058)Termination phase: Saturation
% 10.44/2.35 % (2861058)Time elapsed: 0.078 s
% 10.44/2.35 % (2861058)Peak memory usage: 88 MB
% 10.44/2.35 % (2861058)Instructions burned: 127 (million)
% 10.44/2.35 % (2861057)Instruction limit reached!
% 10.44/2.35 % (2861057)------------------------------
% 10.44/2.35 % (2861057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861057)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861057)Termination reason: Instruction limit
% 10.44/2.35 % (2861057)Termination phase: Saturation
% 10.44/2.35 % (2861057)Time elapsed: 0.118 s
% 10.44/2.35 % (2861057)Peak memory usage: 88 MB
% 10.44/2.35 % (2861057)Instructions burned: 221 (million)
% 10.44/2.35 % (2861063)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1362949173:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.44/2.35 % (2861064)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3153176836:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 10.44/2.35 % (2861065)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1834707034:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.44/2.35 % (2861066)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=1842661832:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 10.44/2.35 % (2861064)Instruction limit reached!
% 10.44/2.35 % (2861064)------------------------------
% 10.44/2.35 % (2861064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861064)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861064)Termination reason: Instruction limit
% 10.44/2.35 % (2861064)Termination phase: Saturation
% 10.44/2.35 % (2861064)Time elapsed: 0.100 s
% 10.44/2.35 % (2861064)Peak memory usage: 89 MB
% 10.44/2.35 % (2861064)Instructions burned: 158 (million)
% 10.44/2.35 % (2861066)Instruction limit reached!
% 10.44/2.35 % (2861066)------------------------------
% 10.44/2.35 % (2861066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861066)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861066)Termination reason: Instruction limit
% 10.44/2.35 % (2861066)Termination phase: Saturation
% 10.44/2.35 % (2861066)Time elapsed: 0.061 s
% 10.44/2.35 % (2861066)Peak memory usage: 89 MB
% 10.44/2.35 % (2861066)Instructions burned: 106 (million)
% 10.44/2.35 % (2861063)Instruction limit reached!
% 10.44/2.35 % (2861063)------------------------------
% 10.44/2.35 % (2861063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861063)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861063)Termination reason: Instruction limit
% 10.44/2.35 % (2861063)Termination phase: Saturation
% 10.44/2.35 % (2861063)Time elapsed: 0.134 s
% 10.44/2.35 % (2861063)Peak memory usage: 88 MB
% 10.44/2.35 % (2861063)Instructions burned: 194 (million)
% 10.44/2.35 % (2861071)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3827072798:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 10.44/2.35 % (2861072)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2990385324:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 10.44/2.35 % (2861072)Refutation not found, incomplete strategy
% 10.44/2.35 % (2861072)------------------------------
% 10.44/2.35 % (2861072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861072)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861072)Termination reason: Refutation not found, incomplete strategy
% 10.44/2.35 % (2861072)Time elapsed: 0.010 s
% 10.44/2.35 % (2861072)Peak memory usage: 87 MB
% 10.44/2.35 % (2861072)Instructions burned: 15 (million)
% 10.44/2.35 % (2861073)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4175331493:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 10.44/2.35 % (2861071)Instruction limit reached!
% 10.44/2.35 % (2861071)------------------------------
% 10.44/2.35 % (2861071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861071)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861071)Termination reason: Instruction limit
% 10.44/2.35 % (2861071)Termination phase: Saturation
% 10.44/2.35 % (2861071)Time elapsed: 0.066 s
% 10.44/2.35 % (2861071)Peak memory usage: 87 MB
% 10.44/2.35 % (2861071)Instructions burned: 108 (million)
% 10.44/2.35 % (2861077)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2803743243:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 10.44/2.35 % (2861072)------------------------------
% 10.44/2.35 % (2861072)------------------------------
% 10.44/2.35 % (2861077)Instruction limit reached!
% 10.44/2.35 % (2861077)------------------------------
% 10.44/2.35 % (2861077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861077)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861077)Termination reason: Instruction limit
% 10.44/2.35 % (2861077)Termination phase: Saturation
% 10.44/2.35 % (2861077)Time elapsed: 0.089 s
% 10.44/2.35 % (2861077)Peak memory usage: 89 MB
% 10.44/2.35 % (2861077)Instructions burned: 134 (million)
% 10.44/2.35 % (2861041)First to succeed.
% 10.44/2.35 % (2861041)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2861036"
% 10.44/2.35 % (2861079)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3029767658:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 10.44/2.35 % (2861080)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1370384352:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 10.44/2.35 % (2861065)Also succeeded, but the first one will report.
% 10.44/2.35 % (2861080)Instruction limit reached!
% 10.44/2.35 % (2861080)------------------------------
% 10.44/2.35 % (2861080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.35 % (2861080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.35 % (2861080)CaDiCaL version: 2.1.3
% 10.44/2.35 % (2861080)Termination reason: Instruction limit
% 10.44/2.35 % (2861080)Termination phase: Saturation
% 10.44/2.35 % (2861080)Time elapsed: 0.126 s
% 10.44/2.35 % (2861080)Peak memory usage: 90 MB
% 10.44/2.35 % (2861080)Instructions burned: 192 (million)
% 10.44/2.35 % (2861041)Refutation found. Thanks to Tanya!
% 10.44/2.35 % SZS status Unsatisfiable for theBenchmark
% 10.44/2.35 % SZS output start Proof for theBenchmark
% See solution above
% 11.19/2.55 % (2861041)------------------------------
% 11.19/2.55 % (2861041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.19/2.55 % (2861041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/2.55 % (2861041)CaDiCaL version: 2.1.3
% 11.19/2.55 % (2861041)Termination reason: Refutation
% 11.19/2.55 % (2861041)Time elapsed: 1.068 s
% 11.19/2.55 % (2861041)Peak memory usage: 133 MB
% 11.19/2.55 % (2861041)Instructions burned: 1633 (million)
% 11.19/2.55 % (2861041)------------------------------
% 11.19/2.55 % (2861041)------------------------------
% 11.19/2.55 % (2861036)Success in time 1.503 s
% 11.19/2.55 % Vampire exiting
%------------------------------------------------------------------------------