%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD061-1 : 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 : n007.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 3.69s 1.09s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 53 ( 32 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f17,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(f19,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ less_or_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f26,axiom,
! [X2,X0,X1] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X2,X1)
| ~ equalish(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f32,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_5) ).
fof(f33,negated_conjecture,
less_or_equal(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_6) ).
fof(f34,negated_conjecture,
~ less_or_equal(add(a,c),add(d,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_7) ).
fof(f45,plain,
! [X0] :
( ~ less_or_equal(add(a,c),X0)
| ~ less_or_equal(X0,add(d,b)) ),
inference(resolution,[],[f17,f34]) ).
fof(f89,plain,
! [X0] :
( ~ defined(c)
| ~ less_or_equal(a,X0)
| ~ less_or_equal(add(X0,c),add(d,b)) ),
inference(resolution,[],[f19,f45]) ).
fof(f92,plain,
! [X0] :
( ~ less_or_equal(add(X0,c),add(d,b))
| ~ less_or_equal(a,X0) ),
inference(forward_subsumption_resolution,[],[f89,f30]) ).
fof(f95,plain,
! [X0,X1] :
( ~ less_or_equal(a,X0)
| ~ less_or_equal(X1,add(d,b))
| ~ equalish(X1,add(X0,c)) ),
inference(resolution,[],[f92,f26]) ).
fof(f209,plain,
! [X0] :
( ~ less_or_equal(X0,add(d,b))
| ~ equalish(X0,add(b,c)) ),
inference(resolution,[],[f95,f32]) ).
fof(f615,plain,
! [X0] :
( ~ equalish(add(X0,b),add(b,c))
| ~ defined(b)
| ~ less_or_equal(X0,d) ),
inference(resolution,[],[f209,f19]) ).
fof(f620,plain,
! [X0] :
( ~ equalish(add(X0,b),add(b,c))
| ~ less_or_equal(X0,d) ),
inference(forward_subsumption_resolution,[],[f615,f29]) ).
fof(f2046,plain,
( ~ less_or_equal(c,d)
| ~ defined(c)
| ~ defined(b) ),
inference(resolution,[],[f620,f4]) ).
fof(f2050,plain,
( ~ defined(c)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f2046,f33]) ).
fof(f2051,plain,
~ defined(b),
inference(forward_subsumption_resolution,[],[f2050,f30]) ).
fof(f2052,plain,
$false,
inference(forward_subsumption_resolution,[],[f2051,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD061-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:45:23 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.69/1.09 % (3024140)Input is clausal, will run a generic CNF schedule.
% 3.69/1.09 % (3024151)dis-21_1_sil=8000:lcm=predicate:random_seed=314730807: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)
% 3.69/1.09 % (3024151)Instruction limit reached!
% 3.69/1.09 % (3024151)------------------------------
% 3.69/1.09 % (3024151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.09 % (3024151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.09 % (3024151)CaDiCaL version: 2.1.3
% 3.69/1.09 % (3024151)Termination reason: Instruction limit
% 3.69/1.09 % (3024151)Termination phase: Saturation
% 3.69/1.09 % (3024151)Time elapsed: 0.029 s
% 3.69/1.09 % (3024151)Peak memory usage: 88 MB
% 3.69/1.09 % (3024151)Instructions burned: 120 (million)
% 3.69/1.09 % (3024146)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3457553084:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.69/1.09 % (3024149)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3288182232:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.69/1.09 % (3024147)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3762241770:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.69/1.09 % (3024150)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3628588712:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.69/1.09 % (3024145)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=2019901148:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.69/1.09 % (3024148)lrs+10_1_sil=8000:sp=occurrence:random_seed=2941326040:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.69/1.09 % (3024150)First to succeed.
% 3.69/1.09 % (3024150)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3024140"
% 3.69/1.09 % (3024148)Instruction limit reached!
% 3.69/1.09 % (3024148)------------------------------
% 3.69/1.09 % (3024148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.09 % (3024148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.09 % (3024148)CaDiCaL version: 2.1.3
% 3.69/1.09 % (3024148)Termination reason: Instruction limit
% 3.69/1.09 % (3024148)Termination phase: Saturation
% 3.69/1.09 % (3024148)Time elapsed: 0.065 s
% 3.69/1.09 % (3024148)Peak memory usage: 88 MB
% 3.69/1.09 % (3024148)Instructions burned: 107 (million)
% 3.69/1.09 % (3024149)Instruction limit reached!
% 3.69/1.09 % (3024149)------------------------------
% 3.69/1.09 % (3024149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.09 % (3024149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.09 % (3024149)CaDiCaL version: 2.1.3
% 3.69/1.09 % (3024149)Termination reason: Instruction limit
% 3.69/1.09 % (3024149)Termination phase: Saturation
% 3.69/1.09 % (3024149)Time elapsed: 0.070 s
% 3.69/1.09 % (3024149)Peak memory usage: 88 MB
% 3.69/1.09 % (3024149)Instructions burned: 115 (million)
% 3.69/1.09 % (3024159)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=2355424329:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.69/1.09 % (3024159)Instruction limit reached!
% 3.69/1.09 % (3024159)------------------------------
% 3.69/1.09 % (3024159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.09 % (3024159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.09 % (3024159)CaDiCaL version: 2.1.3
% 3.69/1.09 % (3024159)Termination reason: Instruction limit
% 3.69/1.09 % (3024159)Termination phase: Saturation
% 3.69/1.09 % (3024159)Time elapsed: 0.045 s
% 3.69/1.09 % (3024159)Peak memory usage: 89 MB
% 3.69/1.09 % (3024159)Instructions burned: 144 (million)
% 3.69/1.09 % (3024160)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1815219899: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)
% 3.69/1.09 % (3024161)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1206710449:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.69/1.09 % (3024161)Also succeeded, but the first one will report.
% 3.69/1.09 % (3024160)Also succeeded, but the first one will report.
% 3.69/1.09 % (3024150)Refutation found. Thanks to Tanya!
% 3.69/1.09 % SZS status Unsatisfiable for theBenchmark
% 3.69/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.09 % (3024150)------------------------------
% 3.69/1.09 % (3024150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.09 % (3024150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.09 % (3024150)CaDiCaL version: 2.1.3
% 3.69/1.09 % (3024150)Termination reason: Refutation
% 3.69/1.09 % (3024150)Time elapsed: 0.042 s
% 3.69/1.09 % (3024150)Peak memory usage: 88 MB
% 3.69/1.09 % (3024150)Instructions burned: 58 (million)
% 3.69/1.09 % (3024150)------------------------------
% 3.69/1.09 % (3024150)------------------------------
% 3.69/1.09 % (3024140)Success in time 0.464 s
% 3.69/1.09 % Vampire exiting
%------------------------------------------------------------------------------