%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD068-4 : 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 : n017.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 09:49:20 AM UTC 2026
% Result : Unsatisfiable 5.18s 1.48s
% Output : Refutation 5.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 14 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 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; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
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(f30,negated_conjecture,
sum(b,additive_inverse(a),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_4) ).
fof(f31,negated_conjecture,
less_or_equal(additive_identity,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_5) ).
fof(f32,negated_conjecture,
~ less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_6) ).
fof(f33,plain,
sum(additive_inverse(a),b,u),
inference(unit_resulting_resolution,[],[f5,f30]) ).
fof(f34,plain,
sum(additive_identity,a,a),
inference(unit_resulting_resolution,[],[f3,f27]) ).
fof(f35,plain,
sum(additive_inverse(a),a,additive_identity),
inference(unit_resulting_resolution,[],[f4,f27]) ).
fof(f63,plain,
sum(additive_identity,b,b),
inference(unit_resulting_resolution,[],[f3,f28]) ).
fof(f326,plain,
~ sum(u,a,b),
inference(unit_resulting_resolution,[],[f24,f32,f31,f34]) ).
fof(f327,plain,
~ sum(a,u,b),
inference(unit_resulting_resolution,[],[f5,f326]) ).
fof(f330,plain,
~ sum(a,additive_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f1,f63,f33,f327]) ).
fof(f336,plain,
~ sum(additive_inverse(a),a,additive_identity),
inference(unit_resulting_resolution,[],[f5,f330]) ).
fof(f337,plain,
$false,
inference(forward_subsumption_resolution,[],[f336,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD068-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n017.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 00:44:07 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 5.18/1.48 % (14799)Input is clausal, will run a generic CNF schedule.
% 5.18/1.48 % (14808)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1259541028:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.18/1.48 % (14805)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=496544324:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.18/1.48 % (14808)Instruction limit reached!
% 5.18/1.48 % (14808)------------------------------
% 5.18/1.48 % (14808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.48 % (14808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.48 % (14808)CaDiCaL version: 2.1.3
% 5.18/1.48 % (14808)Termination reason: Instruction limit
% 5.18/1.48 % (14808)Termination phase: Saturation
% 5.18/1.48 % (14808)Time elapsed: 0.036 s
% 5.18/1.48 % (14808)Peak memory usage: 88 MB
% 5.18/1.48 % (14808)Instructions burned: 116 (million)
% 5.18/1.48 % (14806)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2698635390:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.18/1.48 % (14804)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=139287935:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.18/1.48 % (14810)dis-21_1_sil=8000:lcm=predicate:random_seed=1899266516: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)
% 5.18/1.48 % (14809)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3763044905:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.18/1.48 % (14807)lrs+10_1_sil=8000:sp=occurrence:random_seed=1820270650:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.18/1.48 % (14807)Instruction limit reached!
% 5.18/1.48 % (14807)------------------------------
% 5.18/1.48 % (14807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.48 % (14807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.48 % (14807)CaDiCaL version: 2.1.3
% 5.18/1.48 % (14807)Termination reason: Instruction limit
% 5.18/1.48 % (14807)Termination phase: Saturation
% 5.18/1.48 % (14807)Time elapsed: 0.070 s
% 5.18/1.48 % (14807)Peak memory usage: 88 MB
% 5.18/1.48 % (14807)Instructions burned: 108 (million)
% 5.18/1.48 % (14810)Instruction limit reached!
% 5.18/1.48 % (14810)------------------------------
% 5.18/1.48 % (14810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.48 % (14810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.48 % (14810)CaDiCaL version: 2.1.3
% 5.18/1.48 % (14810)Termination reason: Instruction limit
% 5.18/1.48 % (14810)Termination phase: Saturation
% 5.18/1.48 % (14810)Time elapsed: 0.073 s
% 5.18/1.48 % (14810)Peak memory usage: 89 MB
% 5.18/1.48 % (14810)Instructions burned: 118 (million)
% 5.18/1.48 % (14815)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=2277718672:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.18/1.48 % (14809)Instruction limit reached!
% 5.18/1.48 % (14809)------------------------------
% 5.18/1.48 % (14809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.48 % (14809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.48 % (14809)CaDiCaL version: 2.1.3
% 5.18/1.48 % (14809)Termination reason: Instruction limit
% 5.18/1.48 % (14809)Termination phase: Saturation
% 5.18/1.48 % (14809)Time elapsed: 0.112 s
% 5.18/1.48 % (14809)Peak memory usage: 88 MB
% 5.18/1.48 % (14809)Instructions burned: 181 (million)
% 5.18/1.48 % (14815)Instruction limit reached!
% 5.18/1.48 % (14815)------------------------------
% 5.18/1.48 % (14815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.48 % (14815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.48 % (14815)CaDiCaL version: 2.1.3
% 5.18/1.48 % (14815)Termination reason: Instruction limit
% 5.18/1.48 % (14815)Termination phase: Saturation
% 5.18/1.48 % (14815)Time elapsed: 0.048 s
% 5.18/1.48 % (14815)Peak memory usage: 89 MB
% 5.18/1.48 % (14815)Instructions burned: 144 (million)
% 5.18/1.48 % (14820)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=631607272:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.18/1.48 % (14819)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=665813429: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)
% 5.18/1.48 % (14819)First to succeed.
% 5.18/1.48 % (14819)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14799"
% 5.18/1.48 % (14822)lrs+10_64_to=lpo:sil=8000:random_seed=149129594:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.18/1.48 % (14823)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4194228574:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 5.18/1.48 % (14823)Instruction limit reached!
% 5.18/1.48 % (14823)------------------------------
% 5.18/1.48 % (14823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.48 % (14823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.48 % (14823)CaDiCaL version: 2.1.3
% 5.18/1.48 % (14823)Termination reason: Instruction limit
% 5.18/1.48 % (14823)Termination phase: Saturation
% 5.18/1.48 % (14823)Time elapsed: 0.038 s
% 5.18/1.48 % (14823)Peak memory usage: 87 MB
% 5.18/1.48 % (14823)Instructions burned: 200 (million)
% 5.18/1.48 % (14822)Instruction limit reached!
% 5.18/1.48 % (14822)------------------------------
% 5.18/1.48 % (14822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.48 % (14822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.48 % (14822)CaDiCaL version: 2.1.3
% 5.18/1.48 % (14822)Termination reason: Instruction limit
% 5.18/1.48 % (14822)Termination phase: Saturation
% 5.18/1.48 % (14822)Time elapsed: 0.055 s
% 5.18/1.48 % (14822)Peak memory usage: 87 MB
% 5.18/1.48 % (14822)Instructions burned: 126 (million)
% 5.18/1.48 % (14820)Instruction limit reached!
% 5.18/1.48 % (14820)------------------------------
% 5.18/1.48 % (14820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.48 % (14820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.48 % (14820)CaDiCaL version: 2.1.3
% 5.18/1.48 % (14820)Termination reason: Instruction limit
% 5.18/1.48 % (14820)Termination phase: Saturation
% 5.18/1.48 % (14820)Time elapsed: 0.123 s
% 5.18/1.48 % (14820)Peak memory usage: 88 MB
% 5.18/1.48 % (14820)Instructions burned: 219 (million)
% 5.18/1.48 % (14828)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3980820030:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.18/1.48 % (14829)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1622313837:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 5.18/1.48 % (14819)Refutation found. Thanks to Tanya!
% 5.18/1.48 % SZS status Unsatisfiable for theBenchmark
% 5.18/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 5.18/1.48 % (14819)------------------------------
% 5.18/1.48 % (14819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.18/1.48 % (14819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.48 % (14819)CaDiCaL version: 2.1.3
% 5.18/1.48 % (14819)Termination reason: Refutation
% 5.18/1.48 % (14819)Time elapsed: 0.006 s
% 5.18/1.48 % (14819)Peak memory usage: 88 MB
% 5.18/1.48 % (14819)Instructions burned: 9 (million)
% 5.18/1.48 % (14819)------------------------------
% 5.18/1.48 % (14819)------------------------------
% 5.18/1.48 % (14799)Success in time 0.65 s
% 5.18/1.48 % Vampire exiting
%------------------------------------------------------------------------------