%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD061-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 5.78s 1.59s
% Output : Refutation 5.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 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/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f19,axiom,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
fof(f31,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_5) ).
fof(f32,negated_conjecture,
less_or_equal(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_6) ).
fof(f33,negated_conjecture,
~ less_or_equal(add(a,c),add(d,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_7) ).
fof(f129,plain,
sum(a,c,add(a,c)),
inference(unit_resulting_resolution,[],[f19,f27,f29]) ).
fof(f130,plain,
sum(b,c,add(b,c)),
inference(unit_resulting_resolution,[],[f19,f28,f29]) ).
fof(f173,plain,
sum(d,b,add(d,b)),
inference(unit_resulting_resolution,[],[f19,f28,f30]) ).
fof(f3869,plain,
sum(c,b,add(b,c)),
inference(unit_resulting_resolution,[],[f5,f130]) ).
fof(f3870,plain,
less_or_equal(add(a,c),add(b,c)),
inference(unit_resulting_resolution,[],[f24,f31,f129,f130]) ).
fof(f3875,plain,
~ less_or_equal(add(b,c),add(d,b)),
inference(unit_resulting_resolution,[],[f22,f33,f3870]) ).
fof(f7908,plain,
~ sum(c,b,add(b,c)),
inference(unit_resulting_resolution,[],[f24,f32,f173,f3875]) ).
fof(f7911,plain,
$false,
inference(forward_subsumption_resolution,[],[f7908,f3869]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD061-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 00:48:09 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 5.78/1.59 % (2817848)Input is clausal, will run a generic CNF schedule.
% 5.78/1.59 % (2817854)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3333718683:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.78/1.59 % (2817855)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=555366297:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.78/1.59 % (2817856)lrs+10_1_sil=8000:sp=occurrence:random_seed=2107895879:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.78/1.59 % (2817857)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1427307475:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.78/1.59 % (2817853)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=1710955707:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.78/1.59 % (2817859)dis-21_1_sil=8000:lcm=predicate:random_seed=3818598922: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)
% 5.78/1.59 % (2817858)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=187444164:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.78/1.59 % (2817857)Instruction limit reached!
% 5.78/1.59 % (2817857)------------------------------
% 5.78/1.59 % (2817857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.59 % (2817857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.59 % (2817857)CaDiCaL version: 2.1.3
% 5.78/1.59 % (2817857)Termination reason: Instruction limit
% 5.78/1.59 % (2817857)Termination phase: Saturation
% 5.78/1.59 % (2817857)Time elapsed: 0.062 s
% 5.78/1.59 % (2817857)Peak memory usage: 88 MB
% 5.78/1.59 % (2817857)Instructions burned: 116 (million)
% 5.78/1.59 % (2817856)Instruction limit reached!
% 5.78/1.59 % (2817856)------------------------------
% 5.78/1.59 % (2817856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.59 % (2817856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.59 % (2817856)CaDiCaL version: 2.1.3
% 5.78/1.59 % (2817856)Termination reason: Instruction limit
% 5.78/1.59 % (2817856)Termination phase: Saturation
% 5.78/1.59 % (2817856)Time elapsed: 0.062 s
% 5.78/1.59 % (2817856)Peak memory usage: 88 MB
% 5.78/1.59 % (2817856)Instructions burned: 107 (million)
% 5.78/1.59 % (2817859)Instruction limit reached!
% 5.78/1.59 % (2817859)------------------------------
% 5.78/1.59 % (2817859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.59 % (2817859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.59 % (2817859)CaDiCaL version: 2.1.3
% 5.78/1.59 % (2817859)Termination reason: Instruction limit
% 5.78/1.59 % (2817859)Termination phase: Saturation
% 5.78/1.59 % (2817859)Time elapsed: 0.071 s
% 5.78/1.59 % (2817859)Peak memory usage: 89 MB
% 5.78/1.59 % (2817859)Instructions burned: 118 (million)
% 5.78/1.59 % (2817858)Instruction limit reached!
% 5.78/1.59 % (2817858)------------------------------
% 5.78/1.59 % (2817858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.59 % (2817858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.59 % (2817858)CaDiCaL version: 2.1.3
% 5.78/1.59 % (2817858)Termination reason: Instruction limit
% 5.78/1.59 % (2817858)Termination phase: Saturation
% 5.78/1.59 % (2817858)Time elapsed: 0.131 s
% 5.78/1.59 % (2817858)Peak memory usage: 89 MB
% 5.78/1.59 % (2817858)Instructions burned: 180 (million)
% 5.78/1.59 % (2817867)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=660888489:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.78/1.59 % (2817869)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=499030740:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.78/1.59 % (2817868)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=141635167: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)
% 5.78/1.59 % (2817867)Instruction limit reached!
% 5.78/1.59 % (2817867)------------------------------
% 5.78/1.59 % (2817867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.59 % (2817867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.59 % (2817867)CaDiCaL version: 2.1.3
% 5.78/1.59 % (2817867)Termination reason: Instruction limit
% 5.78/1.59 % (2817867)Termination phase: Saturation
% 5.78/1.59 % (2817867)Time elapsed: 0.058 s
% 5.78/1.59 % (2817867)Peak memory usage: 88 MB
% 5.78/1.59 % (2817867)Instructions burned: 143 (million)
% 5.78/1.59 % (2817870)lrs+10_64_to=lpo:sil=8000:random_seed=3496677137:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.78/1.59 % (2817869)Instruction limit reached!
% 5.78/1.59 % (2817869)------------------------------
% 5.78/1.59 % (2817869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.59 % (2817869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.59 % (2817869)CaDiCaL version: 2.1.3
% 5.78/1.59 % (2817869)Termination reason: Instruction limit
% 5.78/1.59 % (2817869)Termination phase: Saturation
% 5.78/1.59 % (2817869)Time elapsed: 0.077 s
% 5.78/1.59 % (2817869)Peak memory usage: 87 MB
% 5.78/1.59 % (2817869)Instructions burned: 220 (million)
% 5.78/1.59 % (2817868)First to succeed.
% 5.78/1.59 % (2817868)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2817848"
% 5.78/1.59 % (2817854)Also succeeded, but the first one will report.
% 5.78/1.59 % (2817870)Instruction limit reached!
% 5.78/1.59 % (2817870)------------------------------
% 5.78/1.59 % (2817870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.59 % (2817870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.59 % (2817870)CaDiCaL version: 2.1.3
% 5.78/1.59 % (2817870)Termination reason: Instruction limit
% 5.78/1.59 % (2817870)Termination phase: Saturation
% 5.78/1.59 % (2817870)Time elapsed: 0.058 s
% 5.78/1.59 % (2817870)Peak memory usage: 88 MB
% 5.78/1.59 % (2817870)Instructions burned: 126 (million)
% 5.78/1.59 % (2817874)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=757122952:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.78/1.59 % (2817876)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2109312076:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.78/1.59 % (2817877)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4109836486:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.78/1.59 % (2817874)Instruction limit reached!
% 5.78/1.59 % (2817874)------------------------------
% 5.78/1.59 % (2817874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.59 % (2817874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.59 % (2817874)CaDiCaL version: 2.1.3
% 5.78/1.59 % (2817874)Termination reason: Instruction limit
% 5.78/1.59 % (2817874)Termination phase: Saturation
% 5.78/1.59 % (2817874)Time elapsed: 0.071 s
% 5.78/1.59 % (2817874)Peak memory usage: 87 MB
% 5.78/1.59 % (2817874)Instructions burned: 196 (million)
% 5.78/1.59 % (2817868)Refutation found. Thanks to Tanya!
% 5.78/1.59 % SZS status Unsatisfiable for theBenchmark
% 5.78/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 5.78/1.59 % (2817868)------------------------------
% 5.78/1.59 % (2817868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.59 % (2817868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.59 % (2817868)CaDiCaL version: 2.1.3
% 5.78/1.59 % (2817868)Termination reason: Refutation
% 5.78/1.59 % (2817868)Time elapsed: 0.084 s
% 5.78/1.59 % (2817868)Peak memory usage: 93 MB
% 5.78/1.59 % (2817868)Instructions burned: 164 (million)
% 5.78/1.59 % (2817868)------------------------------
% 5.78/1.59 % (2817868)------------------------------
% 5.78/1.59 % (2817848)Success in time 0.738 s
% 5.78/1.59 % Vampire exiting
%------------------------------------------------------------------------------