%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG040-2 : 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 : n001.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 8.34s 2.23s
% Output : Refutation 8.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 12 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 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(f9,axiom,
! [X2,X0,X1] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( sum(X2,X4,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X5,X6)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( product(X1,X0,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_symmetry) ).
fof(f23,negated_conjecture,
sum(b,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_c) ).
fof(f24,negated_conjecture,
product(d,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_plus_a) ).
fof(f25,negated_conjecture,
product(b,a,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_a) ).
fof(f26,negated_conjecture,
product(c,a,n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_plus_a) ).
fof(f27,negated_conjecture,
~ sum(l,n,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f58,plain,
sum(c,b,d),
inference(unit_resulting_resolution,[],[f9,f23]) ).
fof(f205,plain,
~ sum(n,l,additive_identity),
inference(unit_resulting_resolution,[],[f9,f27]) ).
fof(f988,plain,
product(a,b,l),
inference(unit_resulting_resolution,[],[f22,f25]) ).
fof(f989,plain,
product(a,c,n),
inference(unit_resulting_resolution,[],[f22,f26]) ).
fof(f990,plain,
product(a,d,additive_identity),
inference(unit_resulting_resolution,[],[f22,f24]) ).
fof(f1103,plain,
~ product(a,d,additive_identity),
inference(unit_resulting_resolution,[],[f12,f205,f58,f988,f989]) ).
fof(f1157,plain,
$false,
inference(forward_subsumption_resolution,[],[f1103,f990]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG040-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n001.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 27 23:08:01 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 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
% 8.34/2.23 % (4073293)Input is clausal, will run a generic CNF schedule.
% 8.34/2.23 % (4073301)lrs+10_1_sil=8000:sp=occurrence:random_seed=1056363253:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.34/2.23 % (4073299)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4245473300:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.34/2.23 % (4073301)Instruction limit reached!
% 8.34/2.23 % (4073301)------------------------------
% 8.34/2.23 % (4073301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.23 % (4073301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.23 % (4073301)CaDiCaL version: 2.1.3
% 8.34/2.23 % (4073301)Termination reason: Instruction limit
% 8.34/2.23 % (4073301)Termination phase: Saturation
% 8.34/2.23 % (4073301)Time elapsed: 0.060 s
% 8.34/2.23 % (4073301)Peak memory usage: 89 MB
% 8.34/2.23 % (4073301)Instructions burned: 107 (million)
% 8.34/2.23 % (4073302)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2010652117:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.34/2.23 % (4073303)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3142483780:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.34/2.23 % (4073300)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3923258102:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.34/2.23 % (4073298)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=508829054:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.34/2.23 % (4073304)dis-21_1_sil=8000:lcm=predicate:random_seed=2757678687: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)
% 8.34/2.23 % (4073302)Instruction limit reached!
% 8.34/2.23 % (4073302)------------------------------
% 8.34/2.23 % (4073302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.23 % (4073302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.23 % (4073302)CaDiCaL version: 2.1.3
% 8.34/2.23 % (4073302)Termination reason: Instruction limit
% 8.34/2.23 % (4073302)Termination phase: Saturation
% 8.34/2.23 % (4073302)Time elapsed: 0.121 s
% 8.34/2.23 % (4073302)Peak memory usage: 88 MB
% 8.34/2.23 % (4073302)Instructions burned: 114 (million)
% 8.34/2.23 % (4073304)Instruction limit reached!
% 8.34/2.23 % (4073304)------------------------------
% 8.34/2.23 % (4073304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.23 % (4073304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.23 % (4073304)CaDiCaL version: 2.1.3
% 8.34/2.23 % (4073304)Termination reason: Instruction limit
% 8.34/2.23 % (4073304)Termination phase: Saturation
% 8.34/2.23 % (4073304)Time elapsed: 0.114 s
% 8.34/2.23 % (4073304)Peak memory usage: 88 MB
% 8.34/2.23 % (4073304)Instructions burned: 118 (million)
% 8.34/2.23 % (4073303)Instruction limit reached!
% 8.34/2.23 % (4073303)------------------------------
% 8.34/2.23 % (4073303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.23 % (4073303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.23 % (4073303)CaDiCaL version: 2.1.3
% 8.34/2.23 % (4073303)Termination reason: Instruction limit
% 8.34/2.23 % (4073303)Termination phase: Saturation
% 8.34/2.23 % (4073303)Time elapsed: 0.182 s
% 8.34/2.23 % (4073303)Peak memory usage: 89 MB
% 8.34/2.23 % (4073303)Instructions burned: 181 (million)
% 8.34/2.23 % (4073307)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=3608621438:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.34/2.23 % (4073307)Instruction limit reached!
% 8.34/2.23 % (4073307)------------------------------
% 8.34/2.23 % (4073307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.23 % (4073307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.23 % (4073307)CaDiCaL version: 2.1.3
% 8.34/2.23 % (4073307)Termination reason: Instruction limit
% 8.34/2.23 % (4073307)Termination phase: Saturation
% 8.34/2.23 % (4073307)Time elapsed: 0.074 s
% 8.34/2.23 % (4073307)Peak memory usage: 88 MB
% 8.34/2.23 % (4073307)Instructions burned: 145 (million)
% 8.34/2.23 % (4073313)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1240583441: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)
% 8.34/2.23 % (4073313)First to succeed.
% 8.34/2.23 % (4073313)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4073293"
% 8.34/2.23 % (4073314)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2548642269:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 8.34/2.23 % (4073315)lrs+10_64_to=lpo:sil=8000:random_seed=3383675273:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.34/2.23 % (4073317)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3296938818:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 8.34/2.23 % (4073317)Instruction limit reached!
% 8.34/2.23 % (4073317)------------------------------
% 8.34/2.23 % (4073317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.23 % (4073317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.23 % (4073317)CaDiCaL version: 2.1.3
% 8.34/2.23 % (4073317)Termination reason: Instruction limit
% 8.34/2.23 % (4073317)Termination phase: Saturation
% 8.34/2.23 % (4073317)Time elapsed: 0.094 s
% 8.34/2.23 % (4073317)Peak memory usage: 88 MB
% 8.34/2.23 % (4073317)Instructions burned: 195 (million)
% 8.34/2.23 % (4073315)Instruction limit reached!
% 8.34/2.23 % (4073315)------------------------------
% 8.34/2.23 % (4073315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.23 % (4073315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.23 % (4073315)CaDiCaL version: 2.1.3
% 8.34/2.23 % (4073315)Termination reason: Instruction limit
% 8.34/2.23 % (4073315)Termination phase: Saturation
% 8.34/2.23 % (4073315)Time elapsed: 0.134 s
% 8.34/2.23 % (4073315)Peak memory usage: 89 MB
% 8.34/2.23 % (4073315)Instructions burned: 126 (million)
% 8.34/2.23 % (4073314)Instruction limit reached!
% 8.34/2.23 % (4073314)------------------------------
% 8.34/2.23 % (4073314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.23 % (4073314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.23 % (4073314)CaDiCaL version: 2.1.3
% 8.34/2.23 % (4073314)Termination reason: Instruction limit
% 8.34/2.23 % (4073314)Termination phase: Saturation
% 8.34/2.23 % (4073314)Time elapsed: 0.217 s
% 8.34/2.23 % (4073314)Peak memory usage: 89 MB
% 8.34/2.23 % (4073314)Instructions burned: 219 (million)
% 8.34/2.23 % (4073313)Refutation found. Thanks to Tanya!
% 8.34/2.23 % SZS status Unsatisfiable for theBenchmark
% 8.34/2.23 % SZS output start Proof for theBenchmark
% See solution above
% 8.34/2.23 % (4073313)------------------------------
% 8.34/2.23 % (4073313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.23 % (4073313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.23 % (4073313)CaDiCaL version: 2.1.3
% 8.34/2.23 % (4073313)Termination reason: Refutation
% 8.34/2.23 % (4073313)Time elapsed: 0.044 s
% 8.34/2.23 % (4073313)Peak memory usage: 88 MB
% 8.34/2.23 % (4073313)Instructions burned: 44 (million)
% 8.34/2.23 % (4073313)------------------------------
% 8.34/2.23 % (4073313)------------------------------
% 8.34/2.23 % (4073293)Success in time 1.075 s
% 8.34/2.23 % Vampire exiting
%------------------------------------------------------------------------------