%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HEN010-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 10:19:09 AM UTC 2026
% Result : Unsatisfiable 7.75s 2.08s
% Output : Refutation 7.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of formulae : 68 ( 68 unt; 0 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 98 ( 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f7,axiom,
! [X2,X0,X1] : ifeq(quotient(X0,X1,X2),true,less_equal(X2,X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor_existence) ).
fof(f8,plain,
! [X2,X0,X1] : true = ifeq(quotient(X0,X1,X2),true,less_equal(X2,X0),true),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] : ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X4,X5),true,ifeq(quotient(X6,X4,X1),true,ifeq(quotient(X7,X4,X0),true,ifeq(quotient(X7,X6,X3),true,less_equal(X2,X5),true),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f10,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X3,X4,X5),true,ifeq(quotient(X6,X4,X1),true,ifeq(quotient(X7,X4,X0),true,ifeq(quotient(X7,X6,X3),true,less_equal(X2,X5),true),true),true),true),true),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0] : less_equal(zero,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f12,plain,
! [X0] : true = less_equal(zero,X0),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
! [X0,X1] : ifeq2(less_equal(X0,X1),true,ifeq2(less_equal(X1,X0),true,X1,X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f16,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure) ).
fof(f17,plain,
! [X0,X1] : true = quotient(X0,X1,divide(X0,X1)),
inference(reorient_equations,[],[f16]) ).
fof(f23,axiom,
! [X0] : quotient(X0,X0,zero) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f24,plain,
! [X0] : true = quotient(X0,X0,zero),
inference(reorient_equations,[],[f23]) ).
fof(f25,axiom,
! [X0] : quotient(X0,zero,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
fof(f26,plain,
! [X0] : true = quotient(X0,zero,X0),
inference(reorient_equations,[],[f25]) ).
fof(f29,axiom,
! [X2,X3,X0,X1,X4] : ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X0,X3,X4),true,ifeq(less_equal(X4,X1),true,less_equal(X2,X3),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X0,X3,X4),true,ifeq(less_equal(X4,X1),true,less_equal(X2,X3),true),true),true),
inference(reorient_equations,[],[f29]) ).
fof(f31,axiom,
! [X2,X3,X0,X1,X4] : ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X0,X3,X4),true,ifeq(less_equal(X3,X1),true,less_equal(X2,X4),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy_implies_zQyLEzQx) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(quotient(X0,X1,X2),true,ifeq(quotient(X0,X3,X4),true,ifeq(less_equal(X3,X1),true,less_equal(X2,X4),true),true),true),
inference(reorient_equations,[],[f31]) ).
fof(f35,axiom,
quotient(identity,a,idQa) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).
fof(f36,plain,
true = quotient(identity,a,idQa),
inference(reorient_equations,[],[f35]) ).
fof(f37,axiom,
quotient(identity,idQa,idQ_idQa) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa) ).
fof(f38,plain,
true = quotient(identity,idQa,idQ_idQa),
inference(reorient_equations,[],[f37]) ).
fof(f39,axiom,
quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQ_idQa) ).
fof(f40,plain,
true = quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
idQa != idQa_Q__idQ_idQa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idQa_equals_idQa_Q__idQ_idQa) ).
fof(f66,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X1,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),true),
inference(superposition,[],[f30,f40]) ).
fof(f67,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,idQa),true,less_equal(idQ_idQa,X0),true),true),true),
inference(superposition,[],[f30,f38]) ).
fof(f88,plain,
! [X0,X1] : true = ifeq(quotient(identity,X0,X1),true,ifeq(less_equal(X1,idQa),true,less_equal(idQ_idQa,X0),true),true),
inference(forward_demodulation,[],[f67,f2]) ).
fof(f89,plain,
! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(X1,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,X0),true),true),
inference(forward_demodulation,[],[f66,f2]) ).
fof(f99,plain,
! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(true,true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),true),
inference(superposition,[],[f32,f40]) ).
fof(f110,plain,
! [X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(less_equal(idQ_idQa,X0),true,less_equal(X1,idQa_Q__idQ_idQa),true),true),
inference(forward_demodulation,[],[f99,f2]) ).
fof(f169,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(X4,a,X0),true,ifeq(true,true,ifeq(quotient(identity,X4,X2),true,less_equal(X1,X3),true),true),true),true),true),
inference(superposition,[],[f10,f36]) ).
fof(f188,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(X2,a,X3),true,ifeq(quotient(X4,a,X0),true,ifeq(quotient(identity,X4,X2),true,less_equal(X1,X3),true),true),true),true),
inference(forward_demodulation,[],[f169,f2]) ).
fof(f279,plain,
true = ifeq(true,true,ifeq(less_equal(zero,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,idQa),true),true),
inference(superposition,[],[f89,f24]) ).
fof(f289,plain,
true = ifeq(less_equal(zero,idQ_idQa),true,less_equal(idQa_Q__idQ_idQa,idQa),true),
inference(forward_demodulation,[],[f279,f2]) ).
fof(f292,plain,
true = ifeq(true,true,less_equal(idQa_Q__idQ_idQa,idQa),true),
inference(forward_demodulation,[],[f289,f12]) ).
fof(f294,plain,
true = less_equal(idQa_Q__idQ_idQa,idQa),
inference(forward_demodulation,[],[f292,f2]) ).
fof(f448,plain,
! [X0,X1] : true = ifeq(true,true,less_equal(divide(X0,X1),X0),true),
inference(superposition,[],[f8,f17]) ).
fof(f449,plain,
! [X0] : true = ifeq(true,true,less_equal(X0,X0),true),
inference(superposition,[],[f8,f26]) ).
fof(f466,plain,
! [X0] : true = less_equal(X0,X0),
inference(forward_demodulation,[],[f449,f2]) ).
fof(f467,plain,
! [X0,X1] : true = less_equal(divide(X0,X1),X0),
inference(forward_demodulation,[],[f448,f2]) ).
fof(f506,plain,
idQa_Q__idQ_idQa = ifeq2(true,true,ifeq2(less_equal(idQa,idQa_Q__idQ_idQa),true,idQa,idQa_Q__idQ_idQa),idQa_Q__idQ_idQa),
inference(superposition,[],[f13,f294]) ).
fof(f513,plain,
idQa_Q__idQ_idQa = ifeq2(less_equal(idQa,idQa_Q__idQ_idQa),true,idQa,idQa_Q__idQ_idQa),
inference(forward_demodulation,[],[f506,f1]) ).
fof(f540,plain,
! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQa,a,X2),true,ifeq(quotient(a,a,X0),true,ifeq(true,true,less_equal(X1,X2),true),true),true),true),
inference(superposition,[],[f188,f36]) ).
fof(f559,plain,
! [X2,X0,X1] : true = ifeq(quotient(idQa,X0,X1),true,ifeq(quotient(idQa,a,X2),true,ifeq(quotient(a,a,X0),true,less_equal(X1,X2),true),true),true),
inference(forward_demodulation,[],[f540,f2]) ).
fof(f788,plain,
true = ifeq(true,true,ifeq(less_equal(idQa,idQa),true,less_equal(idQ_idQa,a),true),true),
inference(superposition,[],[f88,f36]) ).
fof(f805,plain,
true = ifeq(less_equal(idQa,idQa),true,less_equal(idQ_idQa,a),true),
inference(forward_demodulation,[],[f788,f2]) ).
fof(f809,plain,
true = ifeq(true,true,less_equal(idQ_idQa,a),true),
inference(forward_demodulation,[],[f805,f466]) ).
fof(f812,plain,
true = less_equal(idQ_idQa,a),
inference(forward_demodulation,[],[f809,f2]) ).
fof(f1264,plain,
! [X0] : true = ifeq(true,true,ifeq(quotient(idQa,a,X0),true,ifeq(quotient(a,a,zero),true,less_equal(idQa,X0),true),true),true),
inference(superposition,[],[f559,f26]) ).
fof(f1293,plain,
! [X0] : true = ifeq(quotient(idQa,a,X0),true,ifeq(quotient(a,a,zero),true,less_equal(idQa,X0),true),true),
inference(forward_demodulation,[],[f1264,f2]) ).
fof(f1306,plain,
! [X0] : true = ifeq(quotient(idQa,a,X0),true,ifeq(true,true,less_equal(idQa,X0),true),true),
inference(forward_demodulation,[],[f1293,f24]) ).
fof(f1309,plain,
! [X0] : true = ifeq(quotient(idQa,a,X0),true,less_equal(idQa,X0),true),
inference(forward_demodulation,[],[f1306,f2]) ).
fof(f1311,plain,
true = ifeq(true,true,less_equal(idQa,divide(idQa,a)),true),
inference(superposition,[],[f1309,f17]) ).
fof(f1321,plain,
true = less_equal(idQa,divide(idQa,a)),
inference(forward_demodulation,[],[f1311,f2]) ).
fof(f1331,plain,
divide(idQa,a) = ifeq2(less_equal(divide(idQa,a),idQa),true,ifeq2(true,true,idQa,divide(idQa,a)),divide(idQa,a)),
inference(superposition,[],[f13,f1321]) ).
fof(f1357,plain,
divide(idQa,a) = ifeq2(less_equal(divide(idQa,a),idQa),true,idQa,divide(idQa,a)),
inference(forward_demodulation,[],[f1331,f1]) ).
fof(f1367,plain,
divide(idQa,a) = ifeq2(true,true,idQa,divide(idQa,a)),
inference(forward_demodulation,[],[f1357,f467]) ).
fof(f1375,plain,
idQa = divide(idQa,a),
inference(forward_demodulation,[],[f1367,f1]) ).
fof(f1381,plain,
true = quotient(idQa,a,idQa),
inference(superposition,[],[f17,f1375]) ).
fof(f1386,plain,
true = ifeq(true,true,ifeq(less_equal(idQ_idQa,a),true,less_equal(idQa,idQa_Q__idQ_idQa),true),true),
inference(superposition,[],[f110,f1381]) ).
fof(f1440,plain,
true = ifeq(less_equal(idQ_idQa,a),true,less_equal(idQa,idQa_Q__idQ_idQa),true),
inference(forward_demodulation,[],[f1386,f2]) ).
fof(f1446,plain,
true = ifeq(true,true,less_equal(idQa,idQa_Q__idQ_idQa),true),
inference(forward_demodulation,[],[f1440,f812]) ).
fof(f1447,plain,
true = less_equal(idQa,idQa_Q__idQ_idQa),
inference(forward_demodulation,[],[f1446,f2]) ).
fof(f1449,plain,
idQa_Q__idQ_idQa = ifeq2(true,true,idQa,idQa_Q__idQ_idQa),
inference(superposition,[],[f513,f1447]) ).
fof(f1485,plain,
idQa = idQa_Q__idQ_idQa,
inference(forward_demodulation,[],[f1449,f1]) ).
fof(f1497,plain,
$false,
inference(forward_subsumption_resolution,[],[f1485,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN010-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:54:15 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 5.92/1.88 % (1480419)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.92/1.88 % (1480438)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4093867722:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.92/1.88 % (1480437)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2033583379:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.92/1.88 % (1480439)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2181723378:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.92/1.88 % (1480440)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1025823530:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.92/1.88 % (1480442)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3447034103:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.92/1.88 % (1480443)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1653795637:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.92/1.88 % (1480441)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1774875935:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.92/1.88 % (1480440)Instruction limit reached!
% 5.92/1.88 % (1480440)------------------------------
% 5.92/1.88 % (1480440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.88 % (1480440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.88 % (1480440)CaDiCaL version: 2.1.3
% 5.92/1.88 % (1480440)Termination reason: Instruction limit
% 5.92/1.88 % (1480440)Termination phase: Saturation
% 5.92/1.88 % (1480440)Time elapsed: 0.119 s
% 5.92/1.88 % (1480440)Peak memory usage: 88 MB
% 5.92/1.88 % (1480440)Instructions burned: 136 (million)
% 5.92/1.88 % (1480441)Instruction limit reached!
% 5.92/1.88 % (1480441)------------------------------
% 5.92/1.88 % (1480441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.88 % (1480441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.88 % (1480441)CaDiCaL version: 2.1.3
% 5.92/1.88 % (1480441)Termination reason: Instruction limit
% 5.92/1.88 % (1480441)Termination phase: Saturation
% 5.92/1.88 % (1480441)Time elapsed: 0.167 s
% 5.92/1.88 % (1480441)Peak memory usage: 89 MB
% 5.92/1.88 % (1480441)Instructions burned: 182 (million)
% 5.92/1.88 % (1480442)Instruction limit reached!
% 5.92/1.88 % (1480442)------------------------------
% 5.92/1.88 % (1480442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.88 % (1480442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.88 % (1480442)CaDiCaL version: 2.1.3
% 5.92/1.88 % (1480442)Termination reason: Instruction limit
% 5.92/1.88 % (1480442)Termination phase: Saturation
% 5.92/1.88 % (1480442)Time elapsed: 0.248 s
% 5.92/1.88 % (1480442)Peak memory usage: 91 MB
% 5.92/1.88 % (1480442)Instructions burned: 257 (million)
% 5.92/1.88 % (1480466)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1725785361:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 5.92/1.88 % (1480468)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3489586854:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 5.92/1.88 % (1480471)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4289522095:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 5.92/1.88 % (1480438)First to succeed.
% 5.92/1.88 % (1480438)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1480419"
% 5.92/1.88 % (1480471)Instruction limit reached!
% 5.92/1.88 % (1480471)------------------------------
% 5.92/1.88 % (1480471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.88 % (1480471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.88 % (1480471)CaDiCaL version: 2.1.3
% 7.75/2.08 % (1480471)Termination reason: Instruction limit
% 7.75/2.08 % (1480471)Termination phase: Saturation
% 7.75/2.08 % (1480471)Time elapsed: 0.184 s
% 7.75/2.08 % (1480471)Peak memory usage: 91 MB
% 7.75/2.08 % (1480471)Instructions burned: 215 (million)
% 7.75/2.08 % (1480438)Refutation found. Thanks to Tanya!
% 7.75/2.08 % SZS status Unsatisfiable for theBenchmark
% 7.75/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 7.75/2.09 % (1480438)------------------------------
% 7.75/2.09 % (1480438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.09 % (1480438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.09 % (1480438)CaDiCaL version: 2.1.3
% 7.75/2.09 % (1480438)Termination reason: Refutation
% 7.75/2.09 % (1480438)Time elapsed: 0.631 s
% 7.75/2.09 % (1480438)Peak memory usage: 131 MB
% 7.75/2.09 % (1480438)Instructions burned: 1227 (million)
% 7.75/2.09 % (1480438)------------------------------
% 7.75/2.09 % (1480438)------------------------------
% 7.75/2.09 % (1480419)Success in time 1.024 s
% 7.75/2.09 % Vampire exiting
%------------------------------------------------------------------------------