%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD060-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:49:17 AM UTC 2026
% Result : Unsatisfiable 5.24s 1.52s
% Output : Refutation 5.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X0,X1] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f19,axiom,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_addition) ).
fof(f22,axiom,
! [X2,X0,X1] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X0,X2)
| ~ less_or_equal(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_order_relation) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X4,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f30,negated_conjecture,
~ less_or_equal(add(a,a),add(b,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_4) ).
fof(f49,plain,
sum(a,a,add(a,a)),
inference(unit_resulting_resolution,[],[f19,f27,f27]) ).
fof(f81,plain,
sum(b,a,add(b,a)),
inference(unit_resulting_resolution,[],[f19,f27,f28]) ).
fof(f82,plain,
sum(b,b,add(b,b)),
inference(unit_resulting_resolution,[],[f19,f28,f28]) ).
fof(f484,plain,
sum(a,b,add(b,a)),
inference(unit_resulting_resolution,[],[f5,f81]) ).
fof(f485,plain,
less_or_equal(add(a,a),add(b,a)),
inference(unit_resulting_resolution,[],[f24,f29,f49,f81]) ).
fof(f494,plain,
~ less_or_equal(add(b,a),add(b,b)),
inference(unit_resulting_resolution,[],[f22,f30,f485]) ).
fof(f1674,plain,
~ sum(a,b,add(b,a)),
inference(unit_resulting_resolution,[],[f24,f29,f82,f494]) ).
fof(f1677,plain,
$false,
inference(forward_subsumption_resolution,[],[f1674,f484]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD060-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 00:47:28 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 5.24/1.51 % (3956126)Input is clausal, will run a generic CNF schedule.
% 5.24/1.51 % (3956134)lrs+10_1_sil=8000:sp=occurrence:random_seed=3981124346:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.24/1.51 % (3956135)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3736084640:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.24/1.51 % (3956131)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=2795841780:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.24/1.51 % (3956133)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3946558606:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.24/1.51 % (3956132)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=255639490:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.24/1.51 % (3956134)Instruction limit reached!
% 5.24/1.51 % (3956134)------------------------------
% 5.24/1.51 % (3956134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.51 % (3956134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.51 % (3956134)CaDiCaL version: 2.1.3
% 5.24/1.51 % (3956134)Termination reason: Instruction limit
% 5.24/1.51 % (3956134)Termination phase: Saturation
% 5.24/1.51 % (3956134)Time elapsed: 0.037 s
% 5.24/1.51 % (3956134)Peak memory usage: 89 MB
% 5.24/1.51 % (3956134)Instructions burned: 108 (million)
% 5.24/1.51 % (3956136)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1141992805:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.24/1.51 % (3956137)dis-21_1_sil=8000:lcm=predicate:random_seed=1389905046: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)
% 5.24/1.51 % (3956135)Instruction limit reached!
% 5.24/1.51 % (3956135)------------------------------
% 5.24/1.51 % (3956135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.51 % (3956135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.52 % (3956135)CaDiCaL version: 2.1.3
% 5.24/1.52 % (3956135)Termination reason: Instruction limit
% 5.24/1.52 % (3956135)Termination phase: Saturation
% 5.24/1.52 % (3956135)Time elapsed: 0.063 s
% 5.24/1.52 % (3956135)Peak memory usage: 88 MB
% 5.24/1.52 % (3956135)Instructions burned: 115 (million)
% 5.24/1.52 % (3956137)Instruction limit reached!
% 5.24/1.52 % (3956137)------------------------------
% 5.24/1.52 % (3956137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.52 % (3956137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.52 % (3956137)CaDiCaL version: 2.1.3
% 5.24/1.52 % (3956137)Termination reason: Instruction limit
% 5.24/1.52 % (3956137)Termination phase: Saturation
% 5.24/1.52 % (3956137)Time elapsed: 0.075 s
% 5.24/1.52 % (3956137)Peak memory usage: 89 MB
% 5.24/1.52 % (3956137)Instructions burned: 117 (million)
% 5.24/1.52 % (3956143)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=1676942928:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.24/1.52 % (3956136)Instruction limit reached!
% 5.24/1.52 % (3956136)------------------------------
% 5.24/1.52 % (3956136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.52 % (3956136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.52 % (3956136)CaDiCaL version: 2.1.3
% 5.24/1.52 % (3956136)Termination reason: Instruction limit
% 5.24/1.52 % (3956136)Termination phase: Saturation
% 5.24/1.52 % (3956136)Time elapsed: 0.113 s
% 5.24/1.52 % (3956136)Peak memory usage: 89 MB
% 5.24/1.52 % (3956136)Instructions burned: 181 (million)
% 5.24/1.52 % (3956143)Instruction limit reached!
% 5.24/1.52 % (3956143)------------------------------
% 5.24/1.52 % (3956143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.52 % (3956143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.52 % (3956143)CaDiCaL version: 2.1.3
% 5.24/1.52 % (3956143)Termination reason: Instruction limit
% 5.24/1.52 % (3956143)Termination phase: Saturation
% 5.24/1.52 % (3956143)Time elapsed: 0.029 s
% 5.24/1.52 % (3956143)Peak memory usage: 88 MB
% 5.24/1.52 % (3956143)Instructions burned: 147 (million)
% 5.24/1.52 % (3956146)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=362911944: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)
% 5.24/1.52 % (3956146)First to succeed.
% 5.24/1.52 % (3956146)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3956126"
% 5.24/1.52 % (3956147)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=603045687:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.24/1.52 % (3956150)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=230754753:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 5.24/1.52 % (3956149)lrs+10_64_to=lpo:sil=8000:random_seed=978579966:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.24/1.52 % (3956150)Instruction limit reached!
% 5.24/1.52 % (3956150)------------------------------
% 5.24/1.52 % (3956150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.52 % (3956150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.52 % (3956150)CaDiCaL version: 2.1.3
% 5.24/1.52 % (3956150)Termination reason: Instruction limit
% 5.24/1.52 % (3956150)Termination phase: Saturation
% 5.24/1.52 % (3956150)Time elapsed: 0.039 s
% 5.24/1.52 % (3956150)Peak memory usage: 87 MB
% 5.24/1.52 % (3956150)Instructions burned: 206 (million)
% 5.24/1.52 % (3956147)Instruction limit reached!
% 5.24/1.52 % (3956147)------------------------------
% 5.24/1.52 % (3956147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.52 % (3956147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.52 % (3956147)CaDiCaL version: 2.1.3
% 5.24/1.52 % (3956147)Termination reason: Instruction limit
% 5.24/1.52 % (3956147)Termination phase: Saturation
% 5.24/1.52 % (3956147)Time elapsed: 0.078 s
% 5.24/1.52 % (3956147)Peak memory usage: 87 MB
% 5.24/1.52 % (3956147)Instructions burned: 222 (million)
% 5.24/1.52 % (3956149)Instruction limit reached!
% 5.24/1.52 % (3956149)------------------------------
% 5.24/1.52 % (3956149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.52 % (3956149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.52 % (3956149)CaDiCaL version: 2.1.3
% 5.24/1.52 % (3956149)Termination reason: Instruction limit
% 5.24/1.52 % (3956149)Termination phase: Saturation
% 5.24/1.52 % (3956149)Time elapsed: 0.056 s
% 5.24/1.52 % (3956149)Peak memory usage: 87 MB
% 5.24/1.52 % (3956149)Instructions burned: 126 (million)
% 5.24/1.52 % (3956155)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2292205788:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.24/1.52 % (3956156)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1393005234:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 5.24/1.52 % (3956155)Instruction limit reached!
% 5.24/1.52 % (3956155)------------------------------
% 5.24/1.52 % (3956155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.52 % (3956155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.52 % (3956155)CaDiCaL version: 2.1.3
% 5.24/1.52 % (3956155)Termination reason: Instruction limit
% 5.24/1.52 % (3956155)Termination phase: Saturation
% 5.24/1.52 % (3956155)Time elapsed: 0.053 s
% 5.24/1.52 % (3956155)Peak memory usage: 89 MB
% 5.24/1.52 % (3956155)Instructions burned: 159 (million)
% 5.24/1.52 % (3956146)Refutation found. Thanks to Tanya!
% 5.24/1.52 % SZS status Unsatisfiable for theBenchmark
% 5.24/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 5.24/1.52 % (3956146)------------------------------
% 5.24/1.52 % (3956146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.52 % (3956146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.52 % (3956146)CaDiCaL version: 2.1.3
% 5.24/1.52 % (3956146)Termination reason: Refutation
% 5.24/1.52 % (3956146)Time elapsed: 0.022 s
% 5.24/1.52 % (3956146)Peak memory usage: 89 MB
% 5.24/1.52 % (3956146)Instructions burned: 38 (million)
% 5.24/1.52 % (3956146)------------------------------
% 5.24/1.52 % (3956146)------------------------------
% 5.24/1.52 % (3956126)Success in time 0.645 s
% 5.24/1.52 % Vampire exiting
%------------------------------------------------------------------------------