%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG005-2 : 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 12:35:04 PM UTC 2026
% Result : Unsatisfiable 3.60s 1.46s
% Output : Refutation 3.60s
% 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 : 25 ( 15 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f23,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( sum(X2,X4,X6)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ product(X5,X1,X6)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f27,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f29,axiom,
product(a,b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).
fof(f30,axiom,
product(additive_inverse(a),b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_times_b) ).
fof(f31,negated_conjecture,
~ sum(c,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_is_additive_identity) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,c)
| ~ sum(X2,X0,X3)
| ~ product(X3,X1,additive_identity)
| ~ product(X0,X1,d) ),
inference(resolution,[],[f23,f31]) ).
fof(f109,plain,
! [X0,X1] :
( ~ product(X1,b,additive_identity)
| ~ sum(additive_inverse(a),X0,X1)
| ~ product(X0,b,d) ),
inference(resolution,[],[f66,f30]) ).
fof(f272,plain,
! [X0] :
( ~ product(X0,b,d)
| ~ sum(additive_inverse(a),X0,additive_identity) ),
inference(resolution,[],[f109,f27]) ).
fof(f278,plain,
~ sum(additive_inverse(a),a,additive_identity),
inference(resolution,[],[f272,f29]) ).
fof(f279,plain,
$false,
inference(forward_subsumption_resolution,[],[f278,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG005-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n004.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 22:58:07 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 3.60/1.46 % (3982726)Input is clausal, will run a generic CNF schedule.
% 3.60/1.46 % (3982793)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4277304758:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.60/1.46 % (3982789)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=3407387495:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.60/1.46 % (3982791)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2590586889:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.60/1.46 % (3982790)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2924129385:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.60/1.46 % (3982792)lrs+10_1_sil=8000:sp=occurrence:random_seed=1800789557:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.60/1.46 % (3982793)Instruction limit reached!
% 3.60/1.46 % (3982793)------------------------------
% 3.60/1.46 % (3982793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.46 % (3982793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.46 % (3982793)CaDiCaL version: 2.1.3
% 3.60/1.46 % (3982793)Termination reason: Instruction limit
% 3.60/1.46 % (3982793)Termination phase: Saturation
% 3.60/1.46 % (3982793)Time elapsed: 0.034 s
% 3.60/1.46 % (3982793)Peak memory usage: 88 MB
% 3.60/1.46 % (3982793)Instructions burned: 116 (million)
% 3.60/1.46 % (3982795)dis-21_1_sil=8000:lcm=predicate:random_seed=1191120696: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)
% 3.60/1.46 % (3982794)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4198942502:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.60/1.46 % (3982794)First to succeed.
% 3.60/1.46 % (3982794)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3982726"
% 3.60/1.46 % (3982792)Instruction limit reached!
% 3.60/1.46 % (3982792)------------------------------
% 3.60/1.46 % (3982792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.46 % (3982792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.46 % (3982792)CaDiCaL version: 2.1.3
% 3.60/1.46 % (3982792)Termination reason: Instruction limit
% 3.60/1.46 % (3982792)Termination phase: Saturation
% 3.60/1.46 % (3982792)Time elapsed: 0.068 s
% 3.60/1.46 % (3982792)Peak memory usage: 89 MB
% 3.60/1.46 % (3982792)Instructions burned: 108 (million)
% 3.60/1.46 % (3982795)Instruction limit reached!
% 3.60/1.46 % (3982795)------------------------------
% 3.60/1.46 % (3982795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.46 % (3982795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.46 % (3982795)CaDiCaL version: 2.1.3
% 3.60/1.46 % (3982795)Termination reason: Instruction limit
% 3.60/1.46 % (3982795)Termination phase: Saturation
% 3.60/1.46 % (3982795)Time elapsed: 0.064 s
% 3.60/1.46 % (3982795)Peak memory usage: 88 MB
% 3.60/1.46 % (3982795)Instructions burned: 118 (million)
% 3.60/1.46 % (3982801)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=3510416061:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.60/1.46 % (3982801)Instruction limit reached!
% 3.60/1.46 % (3982801)------------------------------
% 3.60/1.46 % (3982801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.46 % (3982801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.46 % (3982801)CaDiCaL version: 2.1.3
% 3.60/1.46 % (3982801)Termination reason: Instruction limit
% 3.60/1.46 % (3982801)Termination phase: Saturation
% 3.60/1.46 % (3982801)Time elapsed: 0.049 s
% 3.60/1.46 % (3982801)Peak memory usage: 89 MB
% 3.60/1.46 % (3982801)Instructions burned: 144 (million)
% 3.60/1.46 % (3982804)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3636860888: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)
% 3.60/1.46 % (3982805)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1393119313:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.60/1.46 % (3982804)Also succeeded, but the first one will report.
% 3.60/1.46 % (3982807)lrs+10_64_to=lpo:sil=8000:random_seed=2244928677:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.60/1.46 % (3982794)Refutation found. Thanks to Tanya!
% 3.60/1.46 % SZS status Unsatisfiable for theBenchmark
% 3.60/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.46 % (3982794)------------------------------
% 3.60/1.46 % (3982794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.46 % (3982794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.46 % (3982794)CaDiCaL version: 2.1.3
% 3.60/1.46 % (3982794)Termination reason: Refutation
% 3.60/1.46 % (3982794)Time elapsed: 0.010 s
% 3.60/1.46 % (3982794)Peak memory usage: 88 MB
% 3.60/1.46 % (3982794)Instructions burned: 14 (million)
% 3.60/1.46 % (3982794)------------------------------
% 3.60/1.46 % (3982794)------------------------------
% 3.60/1.46 % (3982726)Success in time 0.418 s
% 3.60/1.46 % Vampire exiting
%------------------------------------------------------------------------------