%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG003-1 : 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 : 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 5.30s 1.72s
% Output : Refutation 5.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 20 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
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(X0,X4,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition1) ).
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/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).
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(f18,axiom,
sum(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_plus_c_is_d) ).
fof(f19,axiom,
sum(b,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_c_is_d) ).
fof(f20,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_equals_b) ).
fof(f21,plain,
~ sum(b,additive_identity,a),
inference(unit_resulting_resolution,[],[f16,f2,f20]) ).
fof(f46,plain,
sum(d,additive_inverse(c),a),
inference(unit_resulting_resolution,[],[f8,f2,f6,f18]) ).
fof(f99,plain,
~ sum(d,additive_inverse(c),a),
inference(unit_resulting_resolution,[],[f7,f21,f6,f19]) ).
fof(f137,plain,
$false,
inference(forward_subsumption_resolution,[],[f99,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n004.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 22:57:52 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 5.30/1.72 % (3981953)Input is clausal, will run a generic CNF schedule.
% 5.30/1.72 % (3981962)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1820838676:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.30/1.72 % (3981962)Instruction limit reached!
% 5.30/1.72 % (3981962)------------------------------
% 5.30/1.72 % (3981962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.72 % (3981962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.72 % (3981962)CaDiCaL version: 2.1.3
% 5.30/1.72 % (3981962)Termination reason: Instruction limit
% 5.30/1.72 % (3981962)Termination phase: Saturation
% 5.30/1.72 % (3981962)Time elapsed: 0.036 s
% 5.30/1.72 % (3981962)Peak memory usage: 88 MB
% 5.30/1.72 % (3981962)Instructions burned: 116 (million)
% 5.30/1.72 % (3981960)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2918160828:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.30/1.72 % (3981961)lrs+10_1_sil=8000:sp=occurrence:random_seed=2685893335:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.30/1.72 % (3981959)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=547346844:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.30/1.72 % (3981958)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=3747663284:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.30/1.72 % (3981963)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=220643266:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.30/1.72 % (3981964)dis-21_1_sil=8000:lcm=predicate:random_seed=314317333: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)
% 5.30/1.72 % (3981961)Instruction limit reached!
% 5.30/1.72 % (3981961)------------------------------
% 5.30/1.72 % (3981961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.72 % (3981961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.72 % (3981961)CaDiCaL version: 2.1.3
% 5.30/1.72 % (3981961)Termination reason: Instruction limit
% 5.30/1.72 % (3981961)Termination phase: Saturation
% 5.30/1.72 % (3981961)Time elapsed: 0.064 s
% 5.30/1.72 % (3981961)Peak memory usage: 88 MB
% 5.30/1.72 % (3981961)Instructions burned: 108 (million)
% 5.30/1.72 % (3981964)Instruction limit reached!
% 5.30/1.72 % (3981964)------------------------------
% 5.30/1.72 % (3981964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.72 % (3981964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.72 % (3981964)CaDiCaL version: 2.1.3
% 5.30/1.72 % (3981964)Termination reason: Instruction limit
% 5.30/1.72 % (3981964)Termination phase: Saturation
% 5.30/1.72 % (3981964)Time elapsed: 0.062 s
% 5.30/1.72 % (3981964)Peak memory usage: 88 MB
% 5.30/1.72 % (3981964)Instructions burned: 118 (million)
% 5.30/1.72 % (3981966)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=3333978457:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.30/1.72 % (3981963)Instruction limit reached!
% 5.30/1.72 % (3981963)------------------------------
% 5.30/1.72 % (3981963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.72 % (3981963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.72 % (3981963)CaDiCaL version: 2.1.3
% 5.30/1.72 % (3981963)Termination reason: Instruction limit
% 5.30/1.72 % (3981963)Termination phase: Saturation
% 5.30/1.72 % (3981963)Time elapsed: 0.108 s
% 5.30/1.72 % (3981963)Peak memory usage: 89 MB
% 5.30/1.72 % (3981963)Instructions burned: 181 (million)
% 5.30/1.72 % (3981966)Instruction limit reached!
% 5.30/1.72 % (3981966)------------------------------
% 5.30/1.72 % (3981966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.72 % (3981966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.72 % (3981966)CaDiCaL version: 2.1.3
% 5.30/1.72 % (3981966)Termination reason: Instruction limit
% 5.30/1.72 % (3981966)Termination phase: Saturation
% 5.30/1.72 % (3981966)Time elapsed: 0.049 s
% 5.30/1.72 % (3981966)Peak memory usage: 89 MB
% 5.30/1.72 % (3981966)Instructions burned: 145 (million)
% 5.30/1.72 % (3981974)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1880418980:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.30/1.72 % (3981973)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1003883818: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)
% 5.30/1.72 % (3981973)First to succeed.
% 5.30/1.72 % (3981973)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3981953"
% 5.30/1.72 % (3981976)lrs+10_64_to=lpo:sil=8000:random_seed=1362588021:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.30/1.72 % (3981976)Also succeeded, but the first one will report.
% 5.30/1.72 % (3981977)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1985220338:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 5.30/1.72 % (3981977)Also succeeded, but the first one will report.
% 5.30/1.72 % (3981974)Instruction limit reached!
% 5.30/1.72 % (3981974)------------------------------
% 5.30/1.72 % (3981974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.72 % (3981974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.72 % (3981974)CaDiCaL version: 2.1.3
% 5.30/1.72 % (3981974)Termination reason: Instruction limit
% 5.30/1.72 % (3981974)Termination phase: Saturation
% 5.30/1.72 % (3981974)Time elapsed: 0.126 s
% 5.30/1.72 % (3981974)Peak memory usage: 88 MB
% 5.30/1.72 % (3981974)Instructions burned: 220 (million)
% 5.30/1.72 % (3981973)Refutation found. Thanks to Tanya!
% 5.30/1.72 % SZS status Unsatisfiable for theBenchmark
% 5.30/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 5.30/1.72 % (3981973)------------------------------
% 5.30/1.72 % (3981973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.72 % (3981973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.72 % (3981973)CaDiCaL version: 2.1.3
% 5.30/1.72 % (3981973)Termination reason: Refutation
% 5.30/1.72 % (3981973)Time elapsed: 0.005 s
% 5.30/1.72 % (3981973)Peak memory usage: 88 MB
% 5.30/1.72 % (3981973)Instructions burned: 6 (million)
% 5.30/1.72 % (3981973)------------------------------
% 5.30/1.72 % (3981973)------------------------------
% 5.30/1.72 % (3981953)Success in time 0.661 s
% 5.30/1.72 % Vampire exiting
%------------------------------------------------------------------------------