%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD061-4 : 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 : n016.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 7.68s 2.02s
% Output : Refutation 7.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 79 ( 40 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,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(X2,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X0,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(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(f33,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_7) ).
fof(f34,negated_conjecture,
less_or_equal(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_8) ).
fof(f35,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_9) ).
fof(f36,negated_conjecture,
sum(d,b,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_10) ).
fof(f37,negated_conjecture,
~ less_or_equal(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_11) ).
fof(f45,plain,
! [X0,X1] :
( ~ sum(X0,b,X1)
| ~ less_or_equal(X0,d)
| less_or_equal(X1,v) ),
inference(resolution,[],[f24,f36]) ).
fof(f206,plain,
! [X2,X3,X0,X1] :
( ~ sum(X2,X1,X3)
| ~ defined(X1)
| ~ less_or_equal(X2,X0)
| ~ defined(X0)
| less_or_equal(X3,add(X0,X1)) ),
inference(resolution,[],[f19,f24]) ).
fof(f207,plain,
! [X0,X1] :
( sum(X1,X0,add(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f19,f5]) ).
fof(f226,plain,
! [X0] :
( ~ defined(X0)
| ~ defined(b)
| ~ less_or_equal(X0,d)
| less_or_equal(add(b,X0),v) ),
inference(resolution,[],[f207,f45]) ).
fof(f232,plain,
! [X0] :
( less_or_equal(add(b,X0),v)
| ~ less_or_equal(X0,d)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f226,f28]) ).
fof(f235,plain,
! [X0,X1] :
( ~ less_or_equal(X1,add(b,X0))
| ~ defined(X0)
| ~ less_or_equal(X0,d)
| less_or_equal(X1,v) ),
inference(resolution,[],[f232,f22]) ).
fof(f247,plain,
! [X0] :
( ~ defined(c)
| ~ less_or_equal(a,X0)
| ~ defined(X0)
| less_or_equal(u,add(X0,c)) ),
inference(resolution,[],[f206,f35]) ).
fof(f257,plain,
! [X0] :
( less_or_equal(u,add(X0,c))
| ~ defined(X0)
| ~ less_or_equal(a,X0) ),
inference(forward_subsumption_resolution,[],[f247,f29]) ).
fof(f288,plain,
( ~ defined(b)
| ~ less_or_equal(a,b)
| ~ defined(c)
| ~ less_or_equal(c,d)
| less_or_equal(u,v) ),
inference(resolution,[],[f257,f235]) ).
fof(f293,plain,
( ~ less_or_equal(a,b)
| ~ defined(c)
| ~ less_or_equal(c,d)
| less_or_equal(u,v) ),
inference(forward_subsumption_resolution,[],[f288,f28]) ).
fof(f303,plain,
( ~ defined(c)
| ~ less_or_equal(c,d)
| less_or_equal(u,v) ),
inference(forward_subsumption_resolution,[],[f293,f33]) ).
fof(f304,plain,
( ~ less_or_equal(c,d)
| less_or_equal(u,v) ),
inference(forward_subsumption_resolution,[],[f303,f29]) ).
fof(f305,plain,
less_or_equal(u,v),
inference(forward_subsumption_resolution,[],[f304,f34]) ).
fof(f306,plain,
$false,
inference(forward_subsumption_resolution,[],[f305,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD061-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.27 % Computer : n016.cluster.edu
% 0.25/0.27 % Model : x86_64 x86_64
% 0.25/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.27 % Memory : 8046.5625MB
% 0.25/0.27 % OS : Linux 6.8.0-71-generic
% 0.25/0.27 % CPULimit : 300
% 0.25/0.27 % WCLimit : 300
% 0.25/0.27 % DateTime : Tue Sep 29 00:52:19 UTC 2026
% 0.25/0.27 % CPUTime :
% 0.25/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.32 Running first-order theorem proving
% 0.25/0.32 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
% 7.68/2.02 % (16410)Input is clausal, will run a generic CNF schedule.
% 7.68/2.02 % (16415)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=2306582846:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.68/2.02 % (16416)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=16925479:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.68/2.02 % (16420)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1636053960:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.68/2.02 % (16421)dis-21_1_sil=8000:lcm=predicate:random_seed=3872216080: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)
% 7.68/2.02 % (16417)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=437601349:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.68/2.02 % (16419)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1884714812:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.68/2.02 % (16418)lrs+10_1_sil=8000:sp=occurrence:random_seed=2066677558:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.68/2.02 % (16419)Instruction limit reached!
% 7.68/2.02 % (16419)------------------------------
% 7.68/2.02 % (16419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/2.02 % (16419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/2.02 % (16419)CaDiCaL version: 2.1.3
% 7.68/2.02 % (16419)Termination reason: Instruction limit
% 7.68/2.02 % (16419)Termination phase: Saturation
% 7.68/2.02 % (16419)Time elapsed: 0.101 s
% 7.68/2.02 % (16419)Peak memory usage: 88 MB
% 7.68/2.02 % (16419)Instructions burned: 115 (million)
% 7.68/2.02 % (16418)Instruction limit reached!
% 7.68/2.02 % (16418)------------------------------
% 7.68/2.02 % (16418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/2.02 % (16418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/2.02 % (16418)CaDiCaL version: 2.1.3
% 7.68/2.02 % (16418)Termination reason: Instruction limit
% 7.68/2.02 % (16418)Termination phase: Saturation
% 7.68/2.02 % (16418)Time elapsed: 0.108 s
% 7.68/2.02 % (16418)Peak memory usage: 88 MB
% 7.68/2.02 % (16418)Instructions burned: 107 (million)
% 7.68/2.02 % (16421)Instruction limit reached!
% 7.68/2.02 % (16421)------------------------------
% 7.68/2.02 % (16421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/2.02 % (16421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/2.02 % (16421)CaDiCaL version: 2.1.3
% 7.68/2.02 % (16421)Termination reason: Instruction limit
% 7.68/2.02 % (16421)Termination phase: Saturation
% 7.68/2.02 % (16421)Time elapsed: 0.119 s
% 7.68/2.02 % (16421)Peak memory usage: 89 MB
% 7.68/2.02 % (16421)Instructions burned: 117 (million)
% 7.68/2.02 % (16420)Instruction limit reached!
% 7.68/2.02 % (16420)------------------------------
% 7.68/2.02 % (16420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/2.02 % (16420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/2.02 % (16420)CaDiCaL version: 2.1.3
% 7.68/2.02 % (16420)Termination reason: Instruction limit
% 7.68/2.02 % (16420)Termination phase: Saturation
% 7.68/2.02 % (16420)Time elapsed: 0.168 s
% 7.68/2.02 % (16420)Peak memory usage: 89 MB
% 7.68/2.02 % (16420)Instructions burned: 180 (million)
% 7.68/2.02 % (16429)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=1883815694:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 7.68/2.02 % (16430)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2287278942:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 7.68/2.02 % (16431)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=417926663:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 7.68/2.02 % (16432)lrs+10_64_to=lpo:sil=8000:random_seed=1183942234:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 7.68/2.02 % (16429)Instruction limit reached!
% 7.68/2.02 % (16429)------------------------------
% 7.68/2.02 % (16429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/2.02 % (16429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/2.02 % (16429)CaDiCaL version: 2.1.3
% 7.68/2.02 % (16429)Termination reason: Instruction limit
% 7.68/2.02 % (16429)Termination phase: Saturation
% 7.68/2.02 % (16429)Time elapsed: 0.132 s
% 7.68/2.02 % (16429)Peak memory usage: 89 MB
% 7.68/2.02 % (16429)Instructions burned: 143 (million)
% 7.68/2.02 % (16415)First to succeed.
% 7.68/2.02 % (16415)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16410"
% 7.68/2.02 % (16432)Instruction limit reached!
% 7.68/2.02 % (16432)------------------------------
% 7.68/2.02 % (16432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/2.02 % (16432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/2.02 % (16432)CaDiCaL version: 2.1.3
% 7.68/2.02 % (16432)Termination reason: Instruction limit
% 7.68/2.02 % (16432)Termination phase: Saturation
% 7.68/2.02 % (16432)Time elapsed: 0.094 s
% 7.68/2.02 % (16432)Peak memory usage: 88 MB
% 7.68/2.02 % (16432)Instructions burned: 127 (million)
% 7.68/2.02 % (16430)Instruction limit reached!
% 7.68/2.02 % (16430)------------------------------
% 7.68/2.02 % (16430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/2.02 % (16430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/2.02 % (16430)CaDiCaL version: 2.1.3
% 7.68/2.02 % (16430)Termination reason: Instruction limit
% 7.68/2.02 % (16430)Termination phase: Saturation
% 7.68/2.02 % (16430)Time elapsed: 0.165 s
% 7.68/2.02 % (16430)Peak memory usage: 93 MB
% 7.68/2.02 % (16430)Instructions burned: 189 (million)
% 7.68/2.02 % (16431)Instruction limit reached!
% 7.68/2.02 % (16431)------------------------------
% 7.68/2.02 % (16431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/2.02 % (16431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/2.02 % (16431)CaDiCaL version: 2.1.3
% 7.68/2.02 % (16431)Termination reason: Instruction limit
% 7.68/2.02 % (16431)Termination phase: Saturation
% 7.68/2.02 % (16431)Time elapsed: 0.205 s
% 7.68/2.02 % (16431)Peak memory usage: 89 MB
% 7.68/2.02 % (16431)Instructions burned: 219 (million)
% 7.68/2.02 % (16437)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2345725521:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 7.68/2.02 % (16415)Refutation found. Thanks to Tanya!
% 7.68/2.02 % SZS status Unsatisfiable for theBenchmark
% 7.68/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 7.68/2.02 % (16415)------------------------------
% 7.68/2.02 % (16415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.68/2.02 % (16415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/2.02 % (16415)CaDiCaL version: 2.1.3
% 7.68/2.02 % (16415)Termination reason: Refutation
% 7.68/2.02 % (16415)Time elapsed: 0.571 s
% 7.68/2.02 % (16415)Peak memory usage: 128 MB
% 7.68/2.02 % (16415)Instructions burned: 941 (million)
% 7.68/2.02 % (16415)------------------------------
% 7.68/2.02 % (16415)------------------------------
% 7.68/2.02 % (16410)Success in time 0.987 s
% 7.68/2.02 % Vampire exiting
%------------------------------------------------------------------------------