%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG040-1 : 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 : n008.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 2.68s 1.33s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
fof(f25,negated_conjecture,
sum(b,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_c) ).
fof(f26,negated_conjecture,
product(d,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_plus_a) ).
fof(f27,negated_conjecture,
product(b,a,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_a) ).
fof(f28,negated_conjecture,
product(c,a,n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_plus_a) ).
fof(f29,negated_conjecture,
~ sum(l,n,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,a,X3)
| ~ sum(X2,X0,d)
| ~ product(X0,a,X1)
| sum(X3,X1,additive_identity) ),
inference(resolution,[],[f14,f26]) ).
fof(f336,plain,
! [X0,X1] :
( ~ product(X0,a,X1)
| ~ sum(b,X0,d)
| sum(l,X1,additive_identity) ),
inference(resolution,[],[f127,f27]) ).
fof(f2786,plain,
( ~ sum(b,c,d)
| sum(l,n,additive_identity) ),
inference(resolution,[],[f336,f28]) ).
fof(f2801,plain,
sum(l,n,additive_identity),
inference(forward_subsumption_resolution,[],[f2786,f25]) ).
fof(f2812,plain,
$false,
inference(forward_subsumption_resolution,[],[f2801,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG040-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:02:55 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.68/1.33 % (1713591)Input is clausal, will run a generic CNF schedule.
% 2.68/1.33 % (1713638)lrs+10_1_sil=8000:sp=occurrence:random_seed=3817486458:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.68/1.33 % (1713638)First to succeed.
% 2.68/1.33 % (1713638)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1713591"
% 2.68/1.33 % (1713637)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2634822716:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.68/1.33 % (1713636)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2277590391:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.68/1.33 % (1713639)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2307651628:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.68/1.33 % (1713641)dis-21_1_sil=8000:lcm=predicate:random_seed=422449161: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)
% 2.68/1.33 % (1713635)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=2321837146:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.68/1.33 % (1713640)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2745247579:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.68/1.33 % (1713640)Also succeeded, but the first one will report.
% 2.68/1.33 % (1713641)Instruction limit reached!
% 2.68/1.33 % (1713641)------------------------------
% 2.68/1.33 % (1713641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.33 % (1713641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.33 % (1713641)CaDiCaL version: 2.1.3
% 2.68/1.33 % (1713641)Termination reason: Instruction limit
% 2.68/1.33 % (1713641)Termination phase: Saturation
% 2.68/1.33 % (1713641)Time elapsed: 0.065 s
% 2.68/1.33 % (1713641)Peak memory usage: 88 MB
% 2.68/1.33 % (1713641)Instructions burned: 118 (million)
% 2.68/1.33 % (1713639)Also succeeded, but the first one will report.
% 2.68/1.33 % (1713638)Refutation found. Thanks to Tanya!
% 2.68/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.68/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.68/1.33 % (1713638)------------------------------
% 2.68/1.33 % (1713638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.33 % (1713638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.33 % (1713638)CaDiCaL version: 2.1.3
% 2.68/1.33 % (1713638)Termination reason: Refutation
% 2.68/1.33 % (1713638)Time elapsed: 0.034 s
% 2.68/1.33 % (1713638)Peak memory usage: 89 MB
% 2.68/1.33 % (1713638)Instructions burned: 101 (million)
% 2.68/1.33 % (1713638)------------------------------
% 2.68/1.33 % (1713638)------------------------------
% 2.68/1.33 % (1713591)Success in time 0.289 s
% 2.68/1.33 % Vampire exiting
%------------------------------------------------------------------------------