%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX199-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 01:46:08 PM UTC 2026
% Result : Unsatisfiable 15.99s 6.52s
% Output : Refutation 40.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 45 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 25 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-5 aty)
% Number of variables : 121 ( 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1] : aux(X0,X1,X2,X3,btrue) = cons(X0,merge(X1,cons(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f3,axiom,
! [X0] : leqNat(z,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
fof(f4,plain,
! [X0] : btrue = leqNat(z,X0),
inference(reorient_equations,[],[f3]) ).
fof(f7,negated_conjecture,
! [X0,X1] : leqNat(s(X0),s(X1)) = leqNat(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
fof(f8,negated_conjecture,
! [X0] : merge(nil,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
fof(f9,axiom,
! [X0,X1] : merge(cons(X0,X1),nil) = cons(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
fof(f10,plain,
! [X0,X1] : cons(X0,X1) = merge(cons(X0,X1),nil),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
! [X2,X3,X0,X1] : merge(cons(X0,X1),cons(X2,X3)) = aux(X0,X1,X2,X3,leqNat(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
fof(f12,negated_conjecture,
! [X0] : impl(btrue,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_008) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] : prop_merge_comm(X0,X1,X2) = impl(eq(merge(X0,X1),merge(X1,X0)),impl(eq(merge(X0,X2),merge(X2,X0)),eq(merge(X1,X2),merge(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).
fof(f23,axiom,
! [X0] : eq2(s(X0),z) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_015) ).
fof(f24,plain,
! [X0] : bfalse = eq2(s(X0),z),
inference(reorient_equations,[],[f23]) ).
fof(f25,axiom,
! [X0] : eq(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_016) ).
fof(f26,plain,
! [X0] : btrue = eq(X0,X0),
inference(reorient_equations,[],[f25]) ).
fof(f27,axiom,
! [X0] : eq2(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_017) ).
fof(f28,plain,
! [X0] : btrue = eq2(X0,X0),
inference(reorient_equations,[],[f27]) ).
fof(f29,axiom,
! [X0] : eq3(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_018) ).
fof(f30,plain,
! [X0] : btrue = eq3(X0,X0),
inference(reorient_equations,[],[f29]) ).
fof(f31,axiom,
! [X2,X3,X0,X1] :
( eq2(X0,X1) != bfalse
| eq(cons(X0,X2),cons(X1,X3)) = bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_019) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( bfalse != eq2(X0,X1)
| bfalse = eq(cons(X0,X2),cons(X1,X3)) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,axiom,
! [X2,X3,X0,X1] :
( eq2(X0,X1) != btrue
| eq(cons(X0,X2),cons(X1,X3)) = eq(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_020) ).
fof(f34,plain,
! [X2,X3,X0,X1] :
( btrue != eq2(X0,X1)
| eq(cons(X0,X2),cons(X1,X3)) = eq(X2,X3) ),
inference(reorient_equations,[],[f33]) ).
fof(f39,negated_conjecture,
! [X2,X0,X1] : eq3(prop_merge_comm(X0,X1,X2),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f40,plain,
! [X2,X0,X1] : btrue != eq3(prop_merge_comm(X0,X1,X2),bfalse),
inference(reorient_equations,[],[f39]) ).
fof(f41,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(merge(X0,X1),merge(X1,X0)),impl(eq(merge(X0,X2),merge(X2,X0)),eq(merge(X1,X2),merge(X2,X1)))),bfalse),
inference(definition_unfolding,[],[f40,f15]) ).
fof(f82,plain,
! [X2,X0,X1] : merge(cons(z,X0),cons(X1,X2)) = aux(z,X0,X1,X2,btrue),
inference(superposition,[],[f11,f4]) ).
fof(f84,plain,
! [X2,X3,X0,X1] : merge(cons(s(X0),X2),cons(s(X1),X3)) = aux(s(X0),X2,s(X1),X3,leqNat(X0,X1)),
inference(superposition,[],[f11,f7]) ).
fof(f86,plain,
! [X2,X0,X1] : merge(cons(z,X0),cons(X1,X2)) = cons(z,merge(X0,cons(X1,X2))),
inference(forward_demodulation,[],[f82,f1]) ).
fof(f88,plain,
! [X2,X0,X1] :
( bfalse != bfalse
| bfalse = eq(cons(s(X0),X1),cons(z,X2)) ),
inference(superposition,[],[f32,f24]) ).
fof(f91,plain,
! [X2,X0,X1] : bfalse = eq(cons(s(X0),X1),cons(z,X2)),
inference(trivial_inequality_removal,[],[f88]) ).
fof(f104,plain,
! [X2,X0,X1] :
( btrue != btrue
| eq(cons(X0,X1),cons(X0,X2)) = eq(X1,X2) ),
inference(superposition,[],[f34,f28]) ).
fof(f105,plain,
! [X2,X0,X1] : eq(cons(X0,X1),cons(X0,X2)) = eq(X1,X2),
inference(trivial_inequality_removal,[],[f104]) ).
fof(f114,plain,
! [X2,X0,X1] : merge(cons(s(z),X0),cons(s(X1),X2)) = aux(s(z),X0,s(X1),X2,btrue),
inference(superposition,[],[f84,f4]) ).
fof(f118,plain,
! [X2,X0,X1] : merge(cons(s(z),X0),cons(s(X1),X2)) = cons(s(z),merge(X0,cons(s(X1),X2))),
inference(forward_demodulation,[],[f114,f1]) ).
fof(f183,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(merge(nil,X2),merge(X2,nil)),impl(eq(merge(nil,cons(X0,X1)),cons(X0,X1)),eq(merge(X2,cons(X0,X1)),merge(cons(X0,X1),X2)))),bfalse),
inference(superposition,[],[f41,f10]) ).
fof(f222,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(merge(nil,X2),merge(X2,nil)),impl(eq(cons(X0,X1),cons(X0,X1)),eq(merge(X2,cons(X0,X1)),merge(cons(X0,X1),X2)))),bfalse),
inference(forward_demodulation,[],[f183,f8]) ).
fof(f251,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(merge(nil,X2),merge(X2,nil)),impl(eq(X1,X1),eq(merge(X2,cons(X0,X1)),merge(cons(X0,X1),X2)))),bfalse),
inference(forward_demodulation,[],[f222,f105]) ).
fof(f266,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(merge(nil,X2),merge(X2,nil)),impl(btrue,eq(merge(X2,cons(X0,X1)),merge(cons(X0,X1),X2)))),bfalse),
inference(forward_demodulation,[],[f251,f26]) ).
fof(f272,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(merge(nil,X2),merge(X2,nil)),eq(merge(X2,cons(X0,X1)),merge(cons(X0,X1),X2))),bfalse),
inference(forward_demodulation,[],[f266,f12]) ).
fof(f276,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(X2,merge(X2,nil)),eq(merge(X2,cons(X0,X1)),merge(cons(X0,X1),X2))),bfalse),
inference(forward_demodulation,[],[f272,f8]) ).
fof(f487,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(cons(s(X1),X2),merge(cons(s(X1),X2),nil)),eq(merge(cons(s(X1),X2),cons(s(z),X0)),cons(s(z),merge(X0,cons(s(X1),X2))))),bfalse),
inference(superposition,[],[f276,f118]) ).
fof(f492,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(cons(s(X1),X2),cons(s(X1),X2)),eq(merge(cons(s(X1),X2),cons(s(z),X0)),cons(s(z),merge(X0,cons(s(X1),X2))))),bfalse),
inference(forward_demodulation,[],[f487,f10]) ).
fof(f509,plain,
! [X2,X0,X1] : btrue != eq3(impl(eq(X2,X2),eq(merge(cons(s(X1),X2),cons(s(z),X0)),cons(s(z),merge(X0,cons(s(X1),X2))))),bfalse),
inference(forward_demodulation,[],[f492,f105]) ).
fof(f526,plain,
! [X2,X0,X1] : btrue != eq3(impl(btrue,eq(merge(cons(s(X1),X2),cons(s(z),X0)),cons(s(z),merge(X0,cons(s(X1),X2))))),bfalse),
inference(forward_demodulation,[],[f509,f26]) ).
fof(f543,plain,
! [X2,X0,X1] : btrue != eq3(eq(merge(cons(s(X1),X2),cons(s(z),X0)),cons(s(z),merge(X0,cons(s(X1),X2)))),bfalse),
inference(forward_demodulation,[],[f526,f12]) ).
fof(f2259,plain,
! [X0,X1] : btrue != eq3(eq(cons(s(z),merge(X0,cons(s(z),X1))),cons(s(z),merge(X1,cons(s(z),X0)))),bfalse),
inference(superposition,[],[f543,f118]) ).
fof(f2269,plain,
! [X0,X1] : btrue != eq3(eq(merge(X0,cons(s(z),X1)),merge(X1,cons(s(z),X0))),bfalse),
inference(forward_demodulation,[],[f2259,f105]) ).
fof(f2276,plain,
! [X0] : btrue != eq3(eq(cons(s(z),X0),merge(X0,cons(s(z),nil))),bfalse),
inference(superposition,[],[f2269,f8]) ).
fof(f2287,plain,
! [X0] : btrue != eq3(eq(cons(s(z),cons(z,X0)),cons(z,merge(X0,cons(s(z),nil)))),bfalse),
inference(superposition,[],[f2276,f86]) ).
fof(f2292,plain,
btrue != eq3(bfalse,bfalse),
inference(forward_demodulation,[],[f2287,f91]) ).
fof(f2295,plain,
$false,
inference(forward_subsumption_resolution,[],[f2292,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX199-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n020.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 15:09:04 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.28 Running first-order theorem proving
% 0.23/0.28 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
% 21.68/4.05 % (233774)Input is clausal, will run a generic CNF schedule.
% 21.68/4.05 % (233779)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=1379891233:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 21.68/4.05 % (233783)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1300705372:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 21.68/4.05 % (233780)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=251207118:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 21.68/4.05 % (233782)lrs+10_1_sil=8000:sp=occurrence:random_seed=3450564812:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 21.68/4.05 % (233781)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=315859972:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 21.68/4.05 % (233785)dis-21_1_sil=8000:lcm=predicate:random_seed=1078963456: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)
% 21.68/4.05 % (233784)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1537321037:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 21.68/4.05 % (233785)Refutation not found, incomplete strategy
% 21.68/4.05 % (233785)------------------------------
% 21.68/4.05 % (233785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.68/4.05 % (233785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.68/4.05 % (233785)CaDiCaL version: 2.1.3
% 21.68/4.05 % (233785)Termination reason: Refutation not found, incomplete strategy
% 21.68/4.05 % (233785)Time elapsed: 0.002 s
% 21.68/4.05 % (233785)Peak memory usage: 88 MB
% 21.68/4.05 % (233785)Instructions burned: 1 (million)
% 21.68/4.05 % (233783)Instruction limit reached!
% 21.68/4.05 % (233783)------------------------------
% 21.68/4.05 % (233783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.68/4.05 % (233783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.68/4.05 % (233783)CaDiCaL version: 2.1.3
% 21.68/4.05 % (233783)Termination reason: Instruction limit
% 21.68/4.05 % (233783)Termination phase: Saturation
% 21.68/4.05 % (233783)Time elapsed: 0.117 s
% 21.68/4.05 % (233783)Peak memory usage: 89 MB
% 21.68/4.05 % (233783)Instructions burned: 114 (million)
% 21.68/4.05 % (233782)Instruction limit reached!
% 21.68/4.05 % (233782)------------------------------
% 21.68/4.05 % (233782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.68/4.05 % (233782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.68/4.05 % (233782)CaDiCaL version: 2.1.3
% 21.68/4.05 % (233782)Termination reason: Instruction limit
% 21.68/4.05 % (233782)Termination phase: Saturation
% 21.68/4.05 % (233782)Time elapsed: 0.103 s
% 21.68/4.05 % (233782)Peak memory usage: 89 MB
% 21.68/4.05 % (233782)Instructions burned: 107 (million)
% 21.68/4.05 % (233784)Instruction limit reached!
% 21.68/4.05 % (233784)------------------------------
% 21.68/4.05 % (233784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.68/4.05 % (233784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.68/4.05 % (233784)CaDiCaL version: 2.1.3
% 21.68/4.05 % (233784)Termination reason: Instruction limit
% 21.68/4.05 % (233784)Termination phase: Saturation
% 21.68/4.05 % (233784)Time elapsed: 0.175 s
% 21.68/4.05 % (233784)Peak memory usage: 90 MB
% 21.68/4.05 % (233784)Instructions burned: 180 (million)
% 21.68/4.05 % (233793)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=846586638:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 21.68/4.05 % (233793)Refutation not found, incomplete strategy
% 21.68/4.05 % (233793)------------------------------
% 21.68/4.05 % (233793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.68/4.05 % (233793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.68/4.05 % (233793)CaDiCaL version: 2.1.3
% 21.68/4.05 % (233793)Termination reason: Refutation not found, incomplete strategy
% 21.68/4.05 % (233793)Time elapsed: 0.003 s
% 21.68/4.05 % (233793)Peak memory usage: 88 MB
% 21.68/4.05 % (233793)Instructions burned: 1 (million)
% 21.68/4.05 % (233794)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1933831748: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)
% 15.99/6.52 % (233794)Refutation not found, incomplete strategy
% 15.99/6.52 % (233794)------------------------------
% 15.99/6.52 % (233794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233794)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233794)Termination reason: Refutation not found, incomplete strategy
% 15.99/6.52 % (233794)Time elapsed: 0.018 s
% 15.99/6.52 % (233794)Peak memory usage: 88 MB
% 15.99/6.52 % (233794)Instructions burned: 16 (million)
% 15.99/6.52 % (233785)------------------------------
% 15.99/6.52 % (233785)------------------------------
% 15.99/6.52 % (233795)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3743554581:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 15.99/6.52 % (233795)Refutation not found, incomplete strategy
% 15.99/6.52 % (233795)------------------------------
% 15.99/6.52 % (233795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233795)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233795)Termination reason: Refutation not found, incomplete strategy
% 15.99/6.52 % (233795)Time elapsed: 0.014 s
% 15.99/6.52 % (233795)Peak memory usage: 88 MB
% 15.99/6.52 % (233795)Instructions burned: 14 (million)
% 15.99/6.52 % (233798)lrs+10_64_to=lpo:sil=8000:random_seed=3030559266:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 15.99/6.52 % (233794)------------------------------
% 15.99/6.52 % (233794)------------------------------
% 15.99/6.52 % (233793)------------------------------
% 15.99/6.52 % (233793)------------------------------
% 15.99/6.52 % (233798)Instruction limit reached!
% 15.99/6.52 % (233798)------------------------------
% 15.99/6.52 % (233798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233798)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233798)Termination reason: Instruction limit
% 15.99/6.52 % (233798)Termination phase: Saturation
% 15.99/6.52 % (233798)Time elapsed: 0.121 s
% 15.99/6.52 % (233798)Peak memory usage: 88 MB
% 15.99/6.52 % (233798)Instructions burned: 126 (million)
% 15.99/6.52 % (233795)------------------------------
% 15.99/6.52 % (233795)------------------------------
% 15.99/6.52 % (233803)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2160286802:avsq=on:i=194:fgj=on:bd=preordered_2990 on theBenchmark for (2990ds/194Mi)
% 15.99/6.52 % (233804)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3353318715:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 15.99/6.52 % (233806)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4080644641:i=3394:sd=4:ss=included:sgt=64_2988 on theBenchmark for (2988ds/3394Mi)
% 15.99/6.52 % (233803)Instruction limit reached!
% 15.99/6.52 % (233803)------------------------------
% 15.99/6.52 % (233803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233803)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233803)Termination reason: Instruction limit
% 15.99/6.52 % (233803)Termination phase: Saturation
% 15.99/6.52 % (233803)Time elapsed: 0.181 s
% 15.99/6.52 % (233803)Peak memory usage: 89 MB
% 15.99/6.52 % (233803)Instructions burned: 195 (million)
% 15.99/6.52 % (233807)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2397945757:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 15.99/6.52 % (233804)Instruction limit reached!
% 15.99/6.52 % (233804)------------------------------
% 15.99/6.52 % (233804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233804)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233804)Termination reason: Instruction limit
% 15.99/6.52 % (233804)Termination phase: Saturation
% 15.99/6.52 % (233804)Time elapsed: 0.164 s
% 15.99/6.52 % (233804)Peak memory usage: 90 MB
% 15.99/6.52 % (233804)Instructions burned: 158 (million)
% 15.99/6.52 % (233807)Instruction limit reached!
% 15.99/6.52 % (233807)------------------------------
% 15.99/6.52 % (233807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233807)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233807)Termination reason: Instruction limit
% 15.99/6.52 % (233807)Termination phase: Saturation
% 15.99/6.52 % (233807)Time elapsed: 0.118 s
% 15.99/6.52 % (233807)Peak memory usage: 90 MB
% 15.99/6.52 % (233807)Instructions burned: 107 (million)
% 15.99/6.52 % (233813)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=847189989:i=107_2985 on theBenchmark for (2985ds/107Mi)
% 15.99/6.52 % (233813)Refutation not found, incomplete strategy
% 15.99/6.52 % (233813)------------------------------
% 15.99/6.52 % (233813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233813)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233813)Termination reason: Refutation not found, incomplete strategy
% 15.99/6.52 % (233813)Time elapsed: 0.025 s
% 15.99/6.52 % (233813)Peak memory usage: 88 MB
% 15.99/6.52 % (233813)Instructions burned: 26 (million)
% 15.99/6.52 % (233815)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3142497620:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2985 on theBenchmark for (2985ds/242Mi)
% 15.99/6.52 % (233816)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2020065160:cond=fast:i=5208:av=off_2984 on theBenchmark for (2984ds/5208Mi)
% 15.99/6.52 % (233815)Instruction limit reached!
% 15.99/6.52 % (233815)------------------------------
% 15.99/6.52 % (233815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233815)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233815)Termination reason: Instruction limit
% 15.99/6.52 % (233815)Termination phase: Saturation
% 15.99/6.52 % (233815)Time elapsed: 0.228 s
% 15.99/6.52 % (233815)Peak memory usage: 89 MB
% 15.99/6.52 % (233815)Instructions burned: 243 (million)
% 15.99/6.52 % (233813)------------------------------
% 15.99/6.52 % (233813)------------------------------
% 15.99/6.52 % (233821)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3015764364:i=134:sd=2:doe=on:ss=axioms:sgt=14_2980 on theBenchmark for (2980ds/134Mi)
% 15.99/6.52 % (233823)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1286409609:i=499:bd=all_2978 on theBenchmark for (2978ds/499Mi)
% 15.99/6.52 % (233821)Instruction limit reached!
% 15.99/6.52 % (233821)------------------------------
% 15.99/6.52 % (233821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233821)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233821)Termination reason: Instruction limit
% 15.99/6.52 % (233821)Termination phase: Saturation
% 15.99/6.52 % (233821)Time elapsed: 0.132 s
% 15.99/6.52 % (233821)Peak memory usage: 89 MB
% 15.99/6.52 % (233821)Instructions burned: 134 (million)
% 15.99/6.52 % (233827)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3834603508:i=191:fgj=on:bd=all_2975 on theBenchmark for (2975ds/191Mi)
% 15.99/6.52 % (233827)Instruction limit reached!
% 15.99/6.52 % (233827)------------------------------
% 15.99/6.52 % (233827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233827)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233827)Termination reason: Instruction limit
% 15.99/6.52 % (233827)Termination phase: Saturation
% 15.99/6.52 % (233827)Time elapsed: 0.188 s
% 15.99/6.52 % (233827)Peak memory usage: 89 MB
% 15.99/6.52 % (233827)Instructions burned: 191 (million)
% 15.99/6.52 % (233823)Instruction limit reached!
% 15.99/6.52 % (233823)------------------------------
% 15.99/6.52 % (233823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233823)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233823)Termination reason: Instruction limit
% 15.99/6.52 % (233823)Termination phase: Saturation
% 15.99/6.52 % (233823)Time elapsed: 0.502 s
% 15.99/6.52 % (233823)Peak memory usage: 93 MB
% 15.99/6.52 % (233823)Instructions burned: 499 (million)
% 15.99/6.52 % (233830)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4141234151:cond=on:i=156:bs=on:gtg=exists_all:er=known_2970 on theBenchmark for (2970ds/156Mi)
% 15.99/6.52 % (233829)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2453761971:i=264:kws=precedence:fsr=off_2970 on theBenchmark for (2970ds/264Mi)
% 15.99/6.52 % (233830)Instruction limit reached!
% 15.99/6.52 % (233830)------------------------------
% 15.99/6.52 % (233830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233830)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233830)Termination reason: Instruction limit
% 15.99/6.52 % (233830)Termination phase: Saturation
% 15.99/6.52 % (233830)Time elapsed: 0.118 s
% 15.99/6.52 % (233830)Peak memory usage: 89 MB
% 15.99/6.52 % (233830)Instructions burned: 157 (million)
% 15.99/6.52 % (233829)Instruction limit reached!
% 15.99/6.52 % (233829)------------------------------
% 15.99/6.52 % (233829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233829)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233829)Termination reason: Instruction limit
% 15.99/6.52 % (233829)Termination phase: Saturation
% 15.99/6.52 % (233829)Time elapsed: 0.262 s
% 15.99/6.52 % (233829)Peak memory usage: 91 MB
% 15.99/6.52 % (233829)Instructions burned: 264 (million)
% 15.99/6.52 % (233833)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1993698321:i=3256:kws=precedence:bd=preordered:av=off_2967 on theBenchmark for (2967ds/3256Mi)
% 15.99/6.52 % (233834)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4102574140:i=537:av=off:ss=included_2965 on theBenchmark for (2965ds/537Mi)
% 15.99/6.52 % (233834)Instruction limit reached!
% 15.99/6.52 % (233834)------------------------------
% 15.99/6.52 % (233834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233834)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233834)Termination reason: Instruction limit
% 15.99/6.52 % (233834)Termination phase: Saturation
% 15.99/6.52 % (233834)Time elapsed: 0.471 s
% 15.99/6.52 % (233834)Peak memory usage: 89 MB
% 15.99/6.52 % (233834)Instructions burned: 537 (million)
% 15.99/6.52 % (233839)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2214089952:i=180:bd=preordered:av=off_2957 on theBenchmark for (2957ds/180Mi)
% 15.99/6.52 % (233839)Instruction limit reached!
% 15.99/6.52 % (233839)------------------------------
% 15.99/6.52 % (233839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233839)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233839)Termination reason: Instruction limit
% 15.99/6.52 % (233839)Termination phase: Saturation
% 15.99/6.52 % (233839)Time elapsed: 0.172 s
% 15.99/6.52 % (233839)Peak memory usage: 89 MB
% 15.99/6.52 % (233839)Instructions burned: 180 (million)
% 15.99/6.52 % (233806)Instruction limit reached!
% 15.99/6.52 % (233806)------------------------------
% 15.99/6.52 % (233806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/6.52 % (233806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/6.52 % (233806)CaDiCaL version: 2.1.3
% 15.99/6.52 % (233806)Termination reason: Instruction limit
% 15.99/6.52 % (233806)Termination phase: Saturation
% 15.99/6.52 % (233806)Time elapsed: 3.407 s
% 15.99/6.52 % (233806)Peak memory usage: 151 MB
% 15.99/6.52 % (233806)Instructions burned: 3394 (million)
% 15.99/6.52 % (233841)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=4072186506:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2953 on theBenchmark for (2953ds/10307Mi)
% 15.99/6.52 % (233842)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=575985590:i=412:gtgl=4:gtg=exists_all_2951 on theBenchmark for (2951ds/412Mi)
% 15.99/6.52 % (233842)First to succeed.
% 15.99/6.52 % (233842)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-233774"
% 15.99/6.52 % (233842)Refutation found. Thanks to Tanya!
% 15.99/6.52 % SZS status Unsatisfiable for theBenchmark
% 15.99/6.52 % SZS output start Proof for theBenchmark
% See solution above
% 40.67/6.82 % (233842)------------------------------
% 40.67/6.82 % (233842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.67/6.82 % (233842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.67/6.82 % (233842)CaDiCaL version: 2.1.3
% 40.67/6.82 % (233842)Termination reason: Refutation
% 40.67/6.82 % (233842)Time elapsed: 0.080 s
% 40.67/6.82 % (233842)Peak memory usage: 90 MB
% 40.67/6.82 % (233842)Instructions burned: 85 (million)
% 40.67/6.82 % (233842)------------------------------
% 40.67/6.82 % (233842)------------------------------
% 40.67/6.82 % (233774)Success in time 5.613 s
% 40.67/6.82 % Vampire exiting
%------------------------------------------------------------------------------