%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL145-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:51:20 AM UTC 2026
% Result : Unsatisfiable 5.69s 1.87s
% Output : Refutation 5.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 58 unt; 0 def)
% Number of atoms : 70 ( 55 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 94 ( 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f2,axiom,
! [X2,X0,X1] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f3,plain,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f6,plain,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X0,X1] : big_V(X0,X1) = implies(implies(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',big_V_definition) ).
fof(f8,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X0,X1),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0,X1] : big_hat(X0,X1) = not(big_V(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',big_hat_definition) ).
fof(f10,axiom,
! [X0,X1] :
( ~ ordered(X0,X1)
| implies(X0,X1) = truth ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partial_order_definition1) ).
fof(f11,plain,
! [X0,X1] :
( ~ ordered(X0,X1)
| truth = implies(X0,X1) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0,X1] :
( implies(X0,X1) != truth
| ordered(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partial_order_definition2) ).
fof(f13,plain,
! [X0,X1] :
( truth != implies(X0,X1)
| ordered(X0,X1) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
not(big_V(x,y)) != big_hat(not(x),not(y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_theorem) ).
fof(f15,plain,
! [X0,X1] : big_hat(X0,X1) = not(implies(implies(not(X0),not(X1)),not(X1))),
inference(definition_unfolding,[],[f9,f8]) ).
fof(f16,plain,
not(implies(implies(x,y),y)) != not(implies(implies(not(not(x)),not(not(y))),not(not(y)))),
inference(definition_unfolding,[],[f14,f8,f15]) ).
fof(f23,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f4,f1]) ).
fof(f46,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f6,f1]) ).
fof(f48,plain,
! [X0,X1] : truth = implies(implies(not(X0),not(implies(X1,X0))),implies(implies(X0,X1),X1)),
inference(superposition,[],[f6,f4]) ).
fof(f60,plain,
truth = implies(implies(not(truth),not(not(truth))),not(not(truth))),
inference(superposition,[],[f4,f46]) ).
fof(f63,plain,
! [X0] : implies(truth,X0) = implies(implies(X0,implies(not(X0),not(truth))),implies(not(X0),not(truth))),
inference(superposition,[],[f4,f46]) ).
fof(f68,plain,
! [X0] : implies(implies(X0,implies(not(X0),not(truth))),implies(not(X0),not(truth))) = X0,
inference(forward_demodulation,[],[f63,f1]) ).
fof(f104,plain,
implies(implies(not(not(truth)),implies(not(truth),not(not(truth)))),implies(not(truth),not(not(truth)))) = implies(truth,not(not(truth))),
inference(superposition,[],[f4,f60]) ).
fof(f107,plain,
not(not(truth)) = implies(implies(not(not(truth)),implies(not(truth),not(not(truth)))),implies(not(truth),not(not(truth)))),
inference(forward_demodulation,[],[f104,f1]) ).
fof(f128,plain,
! [X0,X1] : truth = implies(implies(X1,truth),implies(X0,implies(X1,X0))),
inference(superposition,[],[f3,f1]) ).
fof(f136,plain,
! [X0,X1] : truth = implies(implies(truth,X1),implies(implies(X1,X0),X0)),
inference(superposition,[],[f3,f1]) ).
fof(f150,plain,
! [X2,X0,X1] :
( truth != truth
| ordered(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[],[f13,f3]) ).
fof(f153,plain,
! [X2,X0,X1] : ordered(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(trivial_inequality_removal,[],[f150]) ).
fof(f157,plain,
! [X0,X1] : truth = implies(X1,implies(implies(X1,X0),X0)),
inference(forward_demodulation,[],[f136,f1]) ).
fof(f230,plain,
! [X0] : truth = implies(X0,implies(X0,X0)),
inference(superposition,[],[f157,f23]) ).
fof(f235,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f1,f157]) ).
fof(f247,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f235,f1]) ).
fof(f273,plain,
! [X0] : truth = implies(X0,truth),
inference(backward_demodulation,[],[f230,f247]) ).
fof(f280,plain,
! [X0,X1] : truth = implies(truth,implies(X0,implies(X1,X0))),
inference(backward_demodulation,[],[f128,f273]) ).
fof(f291,plain,
! [X0,X1] : truth = implies(X0,implies(X1,X0)),
inference(forward_demodulation,[],[f280,f1]) ).
fof(f296,plain,
not(not(truth)) = implies(truth,implies(not(truth),not(not(truth)))),
inference(backward_demodulation,[],[f107,f291]) ).
fof(f297,plain,
not(not(truth)) = implies(not(truth),not(not(truth))),
inference(forward_demodulation,[],[f296,f1]) ).
fof(f455,plain,
! [X2,X0,X1] : ordered(implies(X0,X1),implies(truth,implies(X0,implies(X2,X1)))),
inference(superposition,[],[f153,f291]) ).
fof(f495,plain,
! [X2,X0,X1] : ordered(implies(X0,X1),implies(X0,implies(X2,X1))),
inference(forward_demodulation,[],[f455,f1]) ).
fof(f576,plain,
! [X2,X0,X1] : ordered(truth,implies(X0,implies(X2,implies(X1,X0)))),
inference(superposition,[],[f495,f291]) ).
fof(f619,plain,
! [X2,X0,X1] : truth = implies(truth,implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f576,f11]) ).
fof(f656,plain,
! [X2,X0,X1] : truth = implies(X0,implies(X1,implies(X2,X0))),
inference(forward_demodulation,[],[f619,f1]) ).
fof(f733,plain,
! [X2,X0,X1] :
( truth != truth
| ordered(X0,implies(X1,implies(X2,X0))) ),
inference(superposition,[],[f13,f656]) ).
fof(f746,plain,
! [X2,X0,X1] : ordered(X0,implies(X1,implies(X2,X0))),
inference(trivial_inequality_removal,[],[f733]) ).
fof(f791,plain,
! [X2,X0,X1] : ordered(X1,implies(implies(implies(X0,X1),X2),X2)),
inference(superposition,[],[f746,f4]) ).
fof(f868,plain,
! [X0] : ordered(not(truth),implies(truth,X0)),
inference(superposition,[],[f791,f46]) ).
fof(f882,plain,
! [X0] : ordered(not(truth),X0),
inference(forward_demodulation,[],[f868,f1]) ).
fof(f899,plain,
! [X0] : truth = implies(not(truth),X0),
inference(resolution,[],[f882,f11]) ).
fof(f909,plain,
truth = not(not(truth)),
inference(backward_demodulation,[],[f297,f899]) ).
fof(f968,plain,
! [X0] : implies(truth,X0) = implies(implies(X0,not(truth)),not(truth)),
inference(superposition,[],[f4,f899]) ).
fof(f1008,plain,
! [X0] : implies(implies(X0,not(truth)),not(truth)) = X0,
inference(forward_demodulation,[],[f968,f1]) ).
fof(f1230,plain,
! [X0] : truth = implies(implies(not(not(truth)),not(implies(X0,not(truth)))),implies(truth,X0)),
inference(superposition,[],[f48,f899]) ).
fof(f1286,plain,
! [X0] : truth = implies(implies(not(not(truth)),not(implies(X0,not(truth)))),X0),
inference(forward_demodulation,[],[f1230,f1]) ).
fof(f1316,plain,
! [X0] : truth = implies(implies(truth,not(implies(X0,not(truth)))),X0),
inference(forward_demodulation,[],[f1286,f909]) ).
fof(f1325,plain,
! [X0] : truth = implies(not(implies(X0,not(truth))),X0),
inference(forward_demodulation,[],[f1316,f1]) ).
fof(f1600,plain,
! [X0] : truth = implies(truth,implies(X0,implies(not(X0),not(truth)))),
inference(superposition,[],[f6,f1325]) ).
fof(f1616,plain,
! [X0] : truth = implies(X0,implies(not(X0),not(truth))),
inference(forward_demodulation,[],[f1600,f1]) ).
fof(f1640,plain,
! [X0] : implies(truth,implies(not(X0),not(truth))) = X0,
inference(backward_demodulation,[],[f68,f1616]) ).
fof(f1646,plain,
! [X0] : implies(not(X0),not(truth)) = X0,
inference(forward_demodulation,[],[f1640,f1]) ).
fof(f1664,plain,
! [X0] : not(X0) = implies(X0,not(truth)),
inference(superposition,[],[f1008,f1646]) ).
fof(f1738,plain,
! [X0] : not(not(X0)) = X0,
inference(backward_demodulation,[],[f1646,f1664]) ).
fof(f1754,plain,
not(implies(implies(x,y),y)) != not(implies(implies(x,not(not(y))),not(not(y)))),
inference(backward_demodulation,[],[f16,f1738]) ).
fof(f1773,plain,
not(implies(implies(x,y),y)) != not(implies(implies(x,y),y)),
inference(forward_demodulation,[],[f1754,f1738]) ).
fof(f1774,plain,
$false,
inference(trivial_inequality_removal,[],[f1773]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL145-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n008.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 15:24:10 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 4.45/1.68 % (1371716)Input is clausal, will run a generic CNF schedule.
% 4.45/1.68 % (1371739)dis-21_1_sil=8000:lcm=predicate:random_seed=426895298: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)
% 4.45/1.68 % (1371739)Refutation not found, incomplete strategy
% 4.45/1.68 % (1371739)------------------------------
% 4.45/1.68 % (1371739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.68 % (1371739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.68 % (1371739)CaDiCaL version: 2.1.3
% 4.45/1.68 % (1371739)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.68 % (1371739)Time elapsed: 0.001 s
% 4.45/1.68 % (1371739)Peak memory usage: 88 MB
% 4.45/1.68 % (1371738)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3319175106:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.45/1.68 % (1371733)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=1270256354:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.45/1.68 % (1371734)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1199598897:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.45/1.68 % (1371737)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3412387061:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.45/1.68 % (1371735)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2937756224:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.45/1.68 % (1371736)lrs+10_1_sil=8000:sp=occurrence:random_seed=4096368360:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.45/1.68 % (1371736)Instruction limit reached!
% 4.45/1.68 % (1371736)------------------------------
% 4.45/1.68 % (1371736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.68 % (1371736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.68 % (1371736)CaDiCaL version: 2.1.3
% 4.45/1.68 % (1371736)Termination reason: Instruction limit
% 4.45/1.68 % (1371736)Termination phase: Saturation
% 4.45/1.68 % (1371736)Time elapsed: 0.064 s
% 4.45/1.68 % (1371736)Peak memory usage: 89 MB
% 4.45/1.68 % (1371736)Instructions burned: 107 (million)
% 4.45/1.68 % (1371737)Instruction limit reached!
% 4.45/1.68 % (1371737)------------------------------
% 4.45/1.68 % (1371737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.68 % (1371737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.68 % (1371737)CaDiCaL version: 2.1.3
% 4.45/1.68 % (1371737)Termination reason: Instruction limit
% 4.45/1.68 % (1371737)Termination phase: Saturation
% 4.45/1.68 % (1371737)Time elapsed: 0.069 s
% 4.45/1.68 % (1371737)Peak memory usage: 89 MB
% 4.45/1.68 % (1371737)Instructions burned: 115 (million)
% 4.45/1.68 % (1371738)Instruction limit reached!
% 4.45/1.68 % (1371738)------------------------------
% 4.45/1.68 % (1371738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.68 % (1371738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.68 % (1371738)CaDiCaL version: 2.1.3
% 4.45/1.68 % (1371738)Termination reason: Instruction limit
% 4.45/1.68 % (1371738)Termination phase: Saturation
% 4.45/1.68 % (1371738)Time elapsed: 0.119 s
% 4.45/1.68 % (1371738)Peak memory usage: 89 MB
% 4.45/1.68 % (1371738)Instructions burned: 180 (million)
% 4.45/1.68 % (1371739)------------------------------
% 4.45/1.68 % (1371739)------------------------------
% 4.45/1.68 % (1371751)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=1686102119:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.45/1.68 % (1371752)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1433748184: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)
% 4.45/1.68 % (1371751)Refutation not found, incomplete strategy
% 4.45/1.68 % (1371751)------------------------------
% 4.45/1.68 % (1371751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.68 % (1371751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.87 % (1371751)CaDiCaL version: 2.1.3
% 5.69/1.87 % (1371751)Termination reason: Refutation not found, incomplete strategy
% 5.69/1.87 % (1371751)Time elapsed: 0.001 s
% 5.69/1.87 % (1371751)Peak memory usage: 88 MB
% 5.69/1.87 % (1371752)Refutation not found, incomplete strategy
% 5.69/1.87 % (1371752)------------------------------
% 5.69/1.87 % (1371752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.87 % (1371752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.87 % (1371752)CaDiCaL version: 2.1.3
% 5.69/1.87 % (1371752)Termination reason: Refutation not found, incomplete strategy
% 5.69/1.87 % (1371752)Time elapsed: 0.001 s
% 5.69/1.87 % (1371752)Peak memory usage: 88 MB
% 5.69/1.87 % (1371752)Instructions burned: 1 (million)
% 5.69/1.87 % (1371754)lrs+10_64_to=lpo:sil=8000:random_seed=2059510064:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.69/1.87 % (1371753)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3999512557:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.69/1.87 % (1371753)Refutation not found, incomplete strategy
% 5.69/1.87 % (1371753)------------------------------
% 5.69/1.87 % (1371753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.87 % (1371753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.87 % (1371753)CaDiCaL version: 2.1.3
% 5.69/1.87 % (1371753)Termination reason: Refutation not found, incomplete strategy
% 5.69/1.87 % (1371753)Time elapsed: 0.002 s
% 5.69/1.87 % (1371753)Peak memory usage: 88 MB
% 5.69/1.87 % (1371753)Instructions burned: 1 (million)
% 5.69/1.87 % (1371754)Instruction limit reached!
% 5.69/1.87 % (1371754)------------------------------
% 5.69/1.87 % (1371754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.87 % (1371754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.87 % (1371754)CaDiCaL version: 2.1.3
% 5.69/1.87 % (1371754)Termination reason: Instruction limit
% 5.69/1.87 % (1371754)Termination phase: Saturation
% 5.69/1.87 % (1371754)Time elapsed: 0.042 s
% 5.69/1.87 % (1371754)Peak memory usage: 89 MB
% 5.69/1.87 % (1371754)Instructions burned: 126 (million)
% 5.69/1.87 % (1371760)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=69124786:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.69/1.87 % (1371760)First to succeed.
% 5.69/1.87 % (1371760)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1371716"
% 5.69/1.87 % (1371751)------------------------------
% 5.69/1.87 % (1371751)------------------------------
% 5.69/1.87 % (1371752)------------------------------
% 5.69/1.87 % (1371752)------------------------------
% 5.69/1.87 % (1371753)------------------------------
% 5.69/1.87 % (1371753)------------------------------
% 5.69/1.87 % (1371760)Refutation found. Thanks to Tanya!
% 5.69/1.87 % SZS status Unsatisfiable for theBenchmark
% 5.69/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 5.69/1.87 % (1371760)------------------------------
% 5.69/1.87 % (1371760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.69/1.87 % (1371760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.87 % (1371760)CaDiCaL version: 2.1.3
% 5.69/1.87 % (1371760)Termination reason: Refutation
% 5.69/1.87 % (1371760)Time elapsed: 0.021 s
% 5.69/1.87 % (1371760)Peak memory usage: 89 MB
% 5.69/1.87 % (1371760)Instructions burned: 57 (million)
% 5.69/1.87 % (1371760)------------------------------
% 5.69/1.87 % (1371760)------------------------------
% 5.69/1.87 % (1371716)Success in time 0.701 s
% 5.69/1.87 % Vampire exiting
%------------------------------------------------------------------------------