%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG008-5 : 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 : n010.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 12:35:06 PM UTC 2026
% Result : Unsatisfiable 18.39s 3.57s
% Output : Refutation 19.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 19
% Syntax : Number of formulae : 94 ( 72 unt; 0 def)
% Number of atoms : 133 ( 63 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 79 ( 40 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 195 ( 195 !; 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(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(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(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(f19,axiom,
! [X0] : sum(additive_inverse(additive_inverse(X0)),additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f20,axiom,
! [X0] : product(X0,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_additive_id1) ).
fof(f21,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_additive_id2) ).
fof(f22,axiom,
! [X0,X1] : sum(additive_inverse(X0),additive_inverse(X1),additive_inverse(add(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute_additive_inverse) ).
fof(f23,axiom,
! [X0,X1] : product(X0,additive_inverse(X1),additive_inverse(multiply(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_additive_inverse) ).
fof(f24,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_squared_is_x) ).
fof(f25,axiom,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f26,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
fof(f37,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f4,f9]) ).
fof(f38,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f24,f17]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f16,f4]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f3,f17]) ).
fof(f59,plain,
c = multiply(a,b),
inference(resolution,[],[f54,f25]) ).
fof(f60,plain,
! [X0] : multiply(X0,X0) = X0,
inference(resolution,[],[f54,f24]) ).
fof(f62,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(resolution,[],[f54,f21]) ).
fof(f64,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(resolution,[],[f20,f54]) ).
fof(f73,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,[],[f14,f3]) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X0,X3),X4,multiply(X2,X3)) ),
inference(resolution,[],[f73,f3]) ).
fof(f83,plain,
! [X2,X0,X1] :
( sum(multiply(X0,X1),X1,multiply(X2,X1))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f78,f24]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X0,X3),multiply(X1,X3),multiply(X2,X3))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f78,f3]) ).
fof(f99,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,[],[f12,f3]) ).
fof(f104,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X3,X2)) ),
inference(resolution,[],[f99,f3]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f104,f3]) ).
fof(f123,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(resolution,[],[f53,f6]) ).
fof(f124,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(resolution,[],[f53,f2]) ).
fof(f126,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(resolution,[],[f53,f1]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X2,X3)
| multiply(X3,X1) = add(multiply(X0,X1),multiply(X2,X1)) ),
inference(resolution,[],[f53,f84]) ).
fof(f128,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X2,X3)
| multiply(X0,X3) = add(multiply(X0,X1),multiply(X0,X2)) ),
inference(resolution,[],[f53,f110]) ).
fof(f168,plain,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X1,X2),multiply(X0,X2)),
inference(resolution,[],[f127,f37]) ).
fof(f173,plain,
! [X0,X1] : multiply(X0,X1) = add(multiply(additive_inverse(additive_inverse(X0)),X1),multiply(additive_identity,X1)),
inference(resolution,[],[f127,f19]) ).
fof(f176,plain,
! [X0,X1] : multiply(X0,X1) = add(multiply(additive_inverse(additive_inverse(X0)),X1),additive_identity),
inference(forward_demodulation,[],[f173,f62]) ).
fof(f183,plain,
! [X0,X1] : multiply(X0,X1) = multiply(additive_inverse(additive_inverse(X0)),X1),
inference(forward_demodulation,[],[f176,f124]) ).
fof(f228,plain,
! [X2,X0,X1] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(resolution,[],[f128,f4]) ).
fof(f229,plain,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X2),multiply(X0,X1)),
inference(resolution,[],[f128,f37]) ).
fof(f234,plain,
! [X0,X1] : multiply(X0,X1) = add(multiply(X0,additive_inverse(additive_inverse(X1))),multiply(X0,additive_identity)),
inference(resolution,[],[f128,f19]) ).
fof(f237,plain,
! [X0,X1] : multiply(X0,X1) = add(multiply(X0,additive_inverse(additive_inverse(X1))),additive_identity),
inference(forward_demodulation,[],[f234,f64]) ).
fof(f240,plain,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = multiply(X0,add(X2,X1)),
inference(forward_demodulation,[],[f228,f229]) ).
fof(f244,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,additive_inverse(additive_inverse(X1))),
inference(forward_demodulation,[],[f237,f124]) ).
fof(f259,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = multiply(additive_inverse(additive_inverse(X0)),X0),
inference(superposition,[],[f60,f244]) ).
fof(f266,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = multiply(X0,X0),
inference(forward_demodulation,[],[f259,f183]) ).
fof(f274,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(forward_demodulation,[],[f266,f60]) ).
fof(f357,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X0,X4)
| ~ sum(X0,X1,X2)
| sum(X3,X2,add(X4,X1)) ),
inference(resolution,[],[f7,f4]) ).
fof(f386,plain,
! [X0,X1] : additive_inverse(add(X0,X1)) = add(additive_inverse(X0),additive_inverse(X1)),
inference(resolution,[],[f22,f53]) ).
fof(f387,plain,
! [X2,X0,X1] : multiply(additive_inverse(add(X0,X1)),X2) = add(multiply(additive_inverse(X0),X2),multiply(additive_inverse(X1),X2)),
inference(resolution,[],[f22,f127]) ).
fof(f404,plain,
! [X2,X0,X1] : multiply(additive_inverse(add(X0,X1)),X2) = multiply(add(additive_inverse(X1),additive_inverse(X0)),X2),
inference(forward_demodulation,[],[f387,f168]) ).
fof(f406,plain,
! [X2,X0,X1] : multiply(additive_inverse(add(X0,X1)),X2) = multiply(additive_inverse(add(X1,X0)),X2),
inference(forward_demodulation,[],[f404,f386]) ).
fof(f414,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(X0,multiply(X0,X1)),
inference(superposition,[],[f229,f60]) ).
fof(f706,plain,
! [X0] : additive_inverse(X0) = additive_inverse(multiply(additive_inverse(X0),X0)),
inference(resolution,[],[f23,f38]) ).
fof(f740,plain,
! [X0,X1] : additive_inverse(add(X0,X1)) = additive_inverse(multiply(additive_inverse(add(X0,X1)),add(X1,X0))),
inference(superposition,[],[f706,f240]) ).
fof(f755,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = multiply(additive_inverse(X0),X0),
inference(superposition,[],[f274,f706]) ).
fof(f756,plain,
! [X0] : multiply(additive_inverse(X0),X0) = X0,
inference(forward_demodulation,[],[f755,f274]) ).
fof(f1077,plain,
! [X0,X1] : additive_inverse(add(X1,X0)) = additive_inverse(multiply(additive_inverse(add(X0,X1)),add(X1,X0))),
inference(superposition,[],[f706,f406]) ).
fof(f1109,plain,
! [X0,X1] : additive_inverse(add(X0,X1)) = additive_inverse(add(X1,X0)),
inference(forward_demodulation,[],[f1077,f740]) ).
fof(f1176,plain,
! [X0,X1] : sum(additive_inverse(additive_inverse(add(X0,X1))),additive_identity,add(X1,X0)),
inference(superposition,[],[f19,f1109]) ).
fof(f1199,plain,
! [X0,X1] : sum(add(X0,X1),additive_identity,add(X1,X0)),
inference(forward_demodulation,[],[f1176,f274]) ).
fof(f2050,plain,
! [X2,X3,X0,X1] :
( sum(X3,X2,add(add(X3,X0),X1))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f357,f4]) ).
fof(f2299,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X2,X1) = add(multiply(X0,X1),X1) ),
inference(resolution,[],[f83,f53]) ).
fof(f2382,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(multiply(X1,X0),X0),
inference(resolution,[],[f2299,f37]) ).
fof(f2858,plain,
! [X0] : add(X0,X0) = multiply(add(X0,additive_inverse(X0)),X0),
inference(superposition,[],[f2382,f756]) ).
fof(f2911,plain,
! [X0] : multiply(additive_identity,X0) = add(X0,X0),
inference(forward_demodulation,[],[f2858,f123]) ).
fof(f2930,plain,
! [X0] : additive_identity = add(X0,X0),
inference(forward_demodulation,[],[f2911,f62]) ).
fof(f4698,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X3,X2) = add(add(X3,X0),X1) ),
inference(resolution,[],[f2050,f53]) ).
fof(f4750,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X2),X1),
inference(resolution,[],[f4698,f37]) ).
fof(f4763,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,add(X2,X1)),additive_identity),
inference(resolution,[],[f4698,f1199]) ).
fof(f4773,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X0,add(X2,X1)),
inference(forward_demodulation,[],[f4763,f124]) ).
fof(f5072,plain,
! [X0,X1] : add(additive_identity,X1) = add(X0,add(X1,X0)),
inference(superposition,[],[f4750,f2930]) ).
fof(f5160,plain,
! [X0,X1] : add(X0,add(X1,X0)) = X1,
inference(forward_demodulation,[],[f5072,f126]) ).
fof(f5231,plain,
! [X0,X1] : add(X1,add(X1,X0)) = X0,
inference(superposition,[],[f4773,f5160]) ).
fof(f5240,plain,
! [X2,X0,X1] : add(X0,X2) = add(X1,add(X2,add(X0,X1))),
inference(superposition,[],[f4750,f5160]) ).
fof(f6474,plain,
add(a,c) = multiply(a,add(b,a)),
inference(superposition,[],[f414,f59]) ).
fof(f6978,plain,
multiply(add(add(b,a),a),add(b,a)) = add(add(a,c),add(b,a)),
inference(superposition,[],[f2382,f6474]) ).
fof(f6979,plain,
multiply(add(add(b,a),a),add(b,a)) = add(a,add(add(b,a),c)),
inference(forward_demodulation,[],[f6978,f4750]) ).
fof(f6993,plain,
multiply(add(add(b,a),a),add(b,a)) = add(a,add(b,add(c,a))),
inference(forward_demodulation,[],[f6979,f4750]) ).
fof(f7001,plain,
add(c,b) = multiply(add(add(b,a),a),add(b,a)),
inference(forward_demodulation,[],[f6993,f5240]) ).
fof(f7005,plain,
add(c,b) = multiply(add(b,add(a,a)),add(b,a)),
inference(forward_demodulation,[],[f7001,f4750]) ).
fof(f7007,plain,
add(c,b) = multiply(add(b,additive_identity),add(b,a)),
inference(forward_demodulation,[],[f7005,f2930]) ).
fof(f7008,plain,
add(c,b) = multiply(b,add(b,a)),
inference(forward_demodulation,[],[f7007,f124]) ).
fof(f7036,plain,
add(b,add(c,b)) = multiply(b,add(add(b,a),b)),
inference(superposition,[],[f414,f7008]) ).
fof(f7059,plain,
add(b,add(c,b)) = multiply(b,add(b,add(b,a))),
inference(forward_demodulation,[],[f7036,f4750]) ).
fof(f7071,plain,
add(b,add(c,b)) = multiply(b,a),
inference(forward_demodulation,[],[f7059,f5231]) ).
fof(f7077,plain,
c = multiply(b,a),
inference(forward_demodulation,[],[f7071,f5160]) ).
fof(f7083,plain,
product(b,a,c),
inference(superposition,[],[f3,f7077]) ).
fof(f7128,plain,
$false,
inference(forward_subsumption_resolution,[],[f7083,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG008-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n010.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Sun Sep 27 22:58:47 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.51 Running first-order theorem proving
% 0.25/0.51 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
% 18.39/3.57 % (1399795)Input is clausal, will run a generic CNF schedule.
% 18.39/3.57 % (1399805)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1143449202:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 18.39/3.57 % (1399804)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=622592312:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 18.39/3.57 % (1399806)dis-21_1_sil=8000:lcm=predicate:random_seed=3002340257: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)
% 18.39/3.57 % (1399801)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2292359711:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 18.39/3.57 % (1399800)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=189014422:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 18.39/3.57 % (1399803)lrs+10_1_sil=8000:sp=occurrence:random_seed=2992866104:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 18.39/3.57 % (1399802)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2909991310:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 18.39/3.57 % (1399803)Refutation not found, incomplete strategy
% 18.39/3.57 % (1399803)------------------------------
% 18.39/3.57 % (1399803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399803)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399803)Termination reason: Refutation not found, incomplete strategy
% 18.39/3.57 % (1399803)Time elapsed: 0.009 s
% 18.39/3.57 % (1399803)Peak memory usage: 88 MB
% 18.39/3.57 % (1399803)Instructions burned: 7 (million)
% 18.39/3.57 % (1399805)Instruction limit reached!
% 18.39/3.57 % (1399805)------------------------------
% 18.39/3.57 % (1399805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399805)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399805)Termination reason: Instruction limit
% 18.39/3.57 % (1399805)Termination phase: Saturation
% 18.39/3.57 % (1399805)Time elapsed: 0.085 s
% 18.39/3.57 % (1399805)Peak memory usage: 88 MB
% 18.39/3.57 % (1399805)Instructions burned: 182 (million)
% 18.39/3.57 % (1399804)Instruction limit reached!
% 18.39/3.57 % (1399804)------------------------------
% 18.39/3.57 % (1399804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399804)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399804)Termination reason: Instruction limit
% 18.39/3.57 % (1399804)Termination phase: Saturation
% 18.39/3.57 % (1399804)Time elapsed: 0.095 s
% 18.39/3.57 % (1399804)Peak memory usage: 88 MB
% 18.39/3.57 % (1399804)Instructions burned: 115 (million)
% 18.39/3.57 % (1399806)Instruction limit reached!
% 18.39/3.57 % (1399806)------------------------------
% 18.39/3.57 % (1399806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399806)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399806)Termination reason: Instruction limit
% 18.39/3.57 % (1399806)Termination phase: Saturation
% 18.39/3.57 % (1399806)Time elapsed: 0.097 s
% 18.39/3.57 % (1399806)Peak memory usage: 88 MB
% 18.39/3.57 % (1399806)Instructions burned: 117 (million)
% 18.39/3.57 % (1399814)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=2745163586:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 18.39/3.57 % (1399816)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1269519929:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 18.39/3.57 % (1399815)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3520329092:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 18.39/3.57 % (1399803)------------------------------
% 18.39/3.57 % (1399803)------------------------------
% 18.39/3.57 % (1399814)Instruction limit reached!
% 18.39/3.57 % (1399814)------------------------------
% 18.39/3.57 % (1399814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399814)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399814)Termination reason: Instruction limit
% 18.39/3.57 % (1399814)Termination phase: Saturation
% 18.39/3.57 % (1399814)Time elapsed: 0.077 s
% 18.39/3.57 % (1399814)Peak memory usage: 89 MB
% 18.39/3.57 % (1399814)Instructions burned: 145 (million)
% 18.39/3.57 % (1399815)Instruction limit reached!
% 18.39/3.57 % (1399815)------------------------------
% 18.39/3.57 % (1399815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399815)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399815)Termination reason: Instruction limit
% 18.39/3.57 % (1399815)Termination phase: Saturation
% 18.39/3.57 % (1399815)Time elapsed: 0.160 s
% 18.39/3.57 % (1399815)Peak memory usage: 89 MB
% 18.39/3.57 % (1399815)Instructions burned: 190 (million)
% 18.39/3.57 % (1399816)Instruction limit reached!
% 18.39/3.57 % (1399816)------------------------------
% 18.39/3.57 % (1399816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399816)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399816)Termination reason: Instruction limit
% 18.39/3.57 % (1399816)Termination phase: Saturation
% 18.39/3.57 % (1399816)Time elapsed: 0.198 s
% 18.39/3.57 % (1399816)Peak memory usage: 89 MB
% 18.39/3.57 % (1399816)Instructions burned: 219 (million)
% 18.39/3.57 % (1399821)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=621609034:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 18.39/3.57 % (1399820)lrs+10_64_to=lpo:sil=8000:random_seed=394582276:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 18.39/3.57 % (1399821)Instruction limit reached!
% 18.39/3.57 % (1399821)------------------------------
% 18.39/3.57 % (1399821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399821)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399821)Termination reason: Instruction limit
% 18.39/3.57 % (1399821)Termination phase: Saturation
% 18.39/3.57 % (1399821)Time elapsed: 0.105 s
% 18.39/3.57 % (1399821)Peak memory usage: 88 MB
% 18.39/3.57 % (1399821)Instructions burned: 195 (million)
% 18.39/3.57 % (1399822)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1262163012:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 18.39/3.57 % (1399820)Instruction limit reached!
% 18.39/3.57 % (1399820)------------------------------
% 18.39/3.57 % (1399820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399820)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399820)Termination reason: Instruction limit
% 18.39/3.57 % (1399820)Termination phase: Saturation
% 18.39/3.57 % (1399820)Time elapsed: 0.137 s
% 18.39/3.57 % (1399820)Peak memory usage: 88 MB
% 18.39/3.57 % (1399820)Instructions burned: 126 (million)
% 18.39/3.57 % (1399823)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4044984615:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 18.39/3.57 % (1399822)Instruction limit reached!
% 18.39/3.57 % (1399822)------------------------------
% 18.39/3.57 % (1399822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399822)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399822)Termination reason: Instruction limit
% 18.39/3.57 % (1399822)Termination phase: Saturation
% 18.39/3.57 % (1399822)Time elapsed: 0.154 s
% 18.39/3.57 % (1399822)Peak memory usage: 89 MB
% 18.39/3.57 % (1399822)Instructions burned: 157 (million)
% 18.39/3.57 % (1399826)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=1793931899:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 18.39/3.57 % (1399826)Instruction limit reached!
% 18.39/3.57 % (1399826)------------------------------
% 18.39/3.57 % (1399826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399826)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399826)Termination reason: Instruction limit
% 18.39/3.57 % (1399826)Termination phase: Saturation
% 18.39/3.57 % (1399826)Time elapsed: 0.052 s
% 18.39/3.57 % (1399826)Peak memory usage: 89 MB
% 18.39/3.57 % (1399826)Instructions burned: 107 (million)
% 18.39/3.57 % (1399828)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1388030850:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 18.39/3.57 % (1399831)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2632459919:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 18.39/3.57 % (1399828)Instruction limit reached!
% 18.39/3.57 % (1399828)------------------------------
% 18.39/3.57 % (1399828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399828)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399828)Termination reason: Instruction limit
% 18.39/3.57 % (1399828)Termination phase: Saturation
% 18.39/3.57 % (1399828)Time elapsed: 0.102 s
% 18.39/3.57 % (1399828)Peak memory usage: 88 MB
% 18.39/3.57 % (1399828)Instructions burned: 108 (million)
% 18.39/3.57 % (1399832)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2327667235:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 18.39/3.57 % (1399831)Instruction limit reached!
% 18.39/3.57 % (1399831)------------------------------
% 18.39/3.57 % (1399831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399831)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399831)Termination reason: Instruction limit
% 18.39/3.57 % (1399831)Termination phase: Saturation
% 18.39/3.57 % (1399831)Time elapsed: 0.217 s
% 18.39/3.57 % (1399831)Peak memory usage: 89 MB
% 18.39/3.57 % (1399831)Instructions burned: 242 (million)
% 18.39/3.57 % (1399835)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=461796286:i=134:sd=2:doe=on:ss=axioms:sgt=14_2985 on theBenchmark for (2985ds/134Mi)
% 18.39/3.57 % (1399835)Instruction limit reached!
% 18.39/3.57 % (1399835)------------------------------
% 18.39/3.57 % (1399835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399835)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399835)Termination reason: Instruction limit
% 18.39/3.57 % (1399835)Termination phase: Saturation
% 18.39/3.57 % (1399835)Time elapsed: 0.137 s
% 18.39/3.57 % (1399835)Peak memory usage: 88 MB
% 18.39/3.57 % (1399835)Instructions burned: 135 (million)
% 18.39/3.57 % (1399837)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2505228159:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 18.39/3.57 % (1399800)First to succeed.
% 18.39/3.57 % (1399800)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1399795"
% 18.39/3.57 % (1399839)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3391898064:i=191:fgj=on:bd=all_2980 on theBenchmark for (2980ds/191Mi)
% 18.39/3.57 % (1399839)Instruction limit reached!
% 18.39/3.57 % (1399839)------------------------------
% 18.39/3.57 % (1399839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399839)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399839)Termination reason: Instruction limit
% 18.39/3.57 % (1399839)Termination phase: Saturation
% 18.39/3.57 % (1399839)Time elapsed: 0.198 s
% 18.39/3.57 % (1399839)Peak memory usage: 90 MB
% 18.39/3.57 % (1399839)Instructions burned: 191 (million)
% 18.39/3.57 % (1399837)Instruction limit reached!
% 18.39/3.57 % (1399837)------------------------------
% 18.39/3.57 % (1399837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.39/3.57 % (1399837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.39/3.57 % (1399837)CaDiCaL version: 2.1.3
% 18.39/3.57 % (1399837)Termination reason: Instruction limit
% 18.39/3.57 % (1399837)Termination phase: Saturation
% 18.39/3.57 % (1399837)Time elapsed: 0.432 s
% 18.39/3.57 % (1399837)Peak memory usage: 91 MB
% 18.39/3.57 % (1399837)Instructions burned: 500 (million)
% 18.39/3.57 % (1399800)Refutation found. Thanks to Tanya!
% 18.39/3.57 % SZS status Unsatisfiable for theBenchmark
% 18.39/3.57 % SZS output start Proof for theBenchmark
% See solution above
% 19.25/3.76 % (1399800)------------------------------
% 19.25/3.76 % (1399800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.76 % (1399800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.76 % (1399800)CaDiCaL version: 2.1.3
% 19.25/3.76 % (1399800)Termination reason: Refutation
% 19.25/3.76 % (1399800)Time elapsed: 1.944 s
% 19.25/3.76 % (1399800)Peak memory usage: 135 MB
% 19.25/3.76 % (1399800)Instructions burned: 1789 (million)
% 19.25/3.76 % (1399800)------------------------------
% 19.25/3.76 % (1399800)------------------------------
% 19.25/3.76 % (1399795)Success in time 2.633 s
% 19.25/3.76 % Vampire exiting
%------------------------------------------------------------------------------