%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG002-1 : 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 : 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 12:35:03 PM UTC 2026
% Result : Unsatisfiable 3.15s 1.42s
% Output : Refutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 21 unt; 0 def)
% Number of atoms : 51 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X2,X3,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X4,X5)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2) ).
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(f16,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f18,axiom,
sum(a,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_plus_b_is_d) ).
fof(f19,axiom,
sum(a,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_plus_c_is_d) ).
fof(f20,negated_conjecture,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_equals_c) ).
fof(f21,plain,
! [X0] :
( ~ sum(a,b,X0)
| d = X0 ),
inference(resolution,[],[f16,f18]) ).
fof(f22,plain,
! [X0] :
( ~ sum(a,c,X0)
| d = X0 ),
inference(resolution,[],[f16,f19]) ).
fof(f24,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f1,f16]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f4,f16]) ).
fof(f32,plain,
d = add(a,b),
inference(resolution,[],[f21,f4]) ).
fof(f35,plain,
d = add(a,c),
inference(resolution,[],[f22,f4]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X4,X2,additive_identity)
| ~ sum(X2,X0,X3)
| ~ sum(X4,X3,X1)
| X0 = X1 ),
inference(resolution,[],[f24,f8]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f30,f9]) ).
fof(f150,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[],[f128,f4]) ).
fof(f185,plain,
! [X0,X1] : sum(X1,X0,add(X0,X1)),
inference(superposition,[],[f4,f150]) ).
fof(f824,plain,
! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| ~ sum(X0,X2,X3)
| X1 = X3 ),
inference(resolution,[],[f73,f6]) ).
fof(f1899,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_inverse(additive_inverse(X0)) = X1 ),
inference(resolution,[],[f824,f6]) ).
fof(f1900,plain,
! [X2,X0,X1] :
( ~ sum(X0,add(additive_inverse(X0),X1),X2)
| X1 = X2 ),
inference(resolution,[],[f824,f4]) ).
fof(f1914,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(resolution,[],[f1899,f2]) ).
fof(f1980,plain,
! [X0,X1] : add(X1,add(additive_inverse(X1),X0)) = X0,
inference(resolution,[],[f1900,f4]) ).
fof(f2013,plain,
! [X0,X1] : sum(add(additive_inverse(X1),X0),X1,X0),
inference(superposition,[],[f185,f1980]) ).
fof(f2073,plain,
! [X0,X1] : sum(add(X0,X1),additive_inverse(X0),X1),
inference(superposition,[],[f2013,f1914]) ).
fof(f2276,plain,
sum(d,additive_inverse(a),b),
inference(superposition,[],[f2073,f32]) ).
fof(f2277,plain,
sum(d,additive_inverse(a),c),
inference(superposition,[],[f2073,f35]) ).
fof(f2304,plain,
b = add(d,additive_inverse(a)),
inference(resolution,[],[f2276,f30]) ).
fof(f2328,plain,
c = add(d,additive_inverse(a)),
inference(resolution,[],[f2277,f30]) ).
fof(f2445,plain,
b = c,
inference(forward_demodulation,[],[f2328,f2304]) ).
fof(f2446,plain,
$false,
inference(forward_subsumption_resolution,[],[f2445,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n004.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 22:57:37 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.15/1.42 % (3981542)Input is clausal, will run a generic CNF schedule.
% 3.15/1.42 % (3981553)dis-21_1_sil=8000:lcm=predicate:random_seed=329158791: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)
% 3.15/1.42 % (3981553)Instruction limit reached!
% 3.15/1.42 % (3981553)------------------------------
% 3.15/1.42 % (3981553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.42 % (3981553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.42 % (3981553)CaDiCaL version: 2.1.3
% 3.15/1.42 % (3981553)Termination reason: Instruction limit
% 3.15/1.42 % (3981553)Termination phase: Saturation
% 3.15/1.42 % (3981553)Time elapsed: 0.033 s
% 3.15/1.42 % (3981553)Peak memory usage: 88 MB
% 3.15/1.42 % (3981553)Instructions burned: 118 (million)
% 3.15/1.42 % (3981552)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1365235084:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.15/1.42 % (3981548)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1294041659:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.15/1.42 % (3981551)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1289382083:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.15/1.42 % (3981550)lrs+10_1_sil=8000:sp=occurrence:random_seed=1297277091:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.15/1.42 % (3981547)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=3080086929:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.15/1.42 % (3981549)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4104972437:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.15/1.42 % (3981552)First to succeed.
% 3.15/1.42 % (3981552)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3981542"
% 3.15/1.42 % (3981550)Instruction limit reached!
% 3.15/1.42 % (3981550)------------------------------
% 3.15/1.42 % (3981550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.42 % (3981550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.42 % (3981550)CaDiCaL version: 2.1.3
% 3.15/1.42 % (3981550)Termination reason: Instruction limit
% 3.15/1.42 % (3981550)Termination phase: Saturation
% 3.15/1.42 % (3981550)Time elapsed: 0.063 s
% 3.15/1.42 % (3981550)Peak memory usage: 88 MB
% 3.15/1.42 % (3981550)Instructions burned: 107 (million)
% 3.15/1.42 % (3981551)Instruction limit reached!
% 3.15/1.42 % (3981551)------------------------------
% 3.15/1.42 % (3981551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.42 % (3981551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.42 % (3981551)CaDiCaL version: 2.1.3
% 3.15/1.42 % (3981551)Termination reason: Instruction limit
% 3.15/1.42 % (3981551)Termination phase: Saturation
% 3.15/1.42 % (3981551)Time elapsed: 0.065 s
% 3.15/1.42 % (3981551)Peak memory usage: 88 MB
% 3.15/1.42 % (3981551)Instructions burned: 115 (million)
% 3.15/1.42 % (3981555)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=4084491699:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.15/1.42 % (3981563)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1103552678:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.15/1.42 % (3981562)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=920019885: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)
% 3.15/1.42 % (3981562)Also succeeded, but the first one will report.
% 3.15/1.42 % (3981552)Refutation found. Thanks to Tanya!
% 3.15/1.42 % SZS status Unsatisfiable for theBenchmark
% 3.15/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 3.15/1.42 % (3981552)------------------------------
% 3.15/1.42 % (3981552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.42 % (3981552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.42 % (3981552)CaDiCaL version: 2.1.3
% 3.15/1.42 % (3981552)Termination reason: Refutation
% 3.15/1.42 % (3981552)Time elapsed: 0.052 s
% 3.15/1.42 % (3981552)Peak memory usage: 89 MB
% 3.15/1.42 % (3981552)Instructions burned: 160 (million)
% 3.15/1.42 % (3981552)------------------------------
% 3.15/1.42 % (3981552)------------------------------
% 3.15/1.42 % (3981542)Success in time 0.354 s
% 3.15/1.42 % Vampire exiting
%------------------------------------------------------------------------------