%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT129+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:36:58 PM UTC 2026
% Result : ContradictoryAxioms 8.26s 2.15s
% Output : Refutation 8.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 25 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-4 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f524,axiom,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBI__1) ).
fof(f526,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(c_COMBB(X5,X4,X3,X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(f528,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(f531,axiom,
! [X0] :
( ~ hBOOL(hAPP(c_fNot,X0))
| ~ hBOOL(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__fNot__1) ).
fof(f532,axiom,
! [X0] :
( hBOOL(X0)
| hBOOL(hAPP(c_fNot,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__fNot__2) ).
fof(f2014,plain,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
inference(cnf_transformation,[],[f524]) ).
fof(f2016,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(c_COMBB(X5,X4,X3,X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
inference(cnf_transformation,[],[f526]) ).
fof(f2018,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
inference(cnf_transformation,[],[f528]) ).
fof(f2021,plain,
! [X0] :
( ~ hBOOL(hAPP(c_fNot,X0))
| ~ hBOOL(X0) ),
inference(cnf_transformation,[],[f531]) ).
fof(f2022,plain,
! [X0] :
( hBOOL(hAPP(c_fNot,X0))
| hBOOL(X0) ),
inference(cnf_transformation,[],[f532]) ).
fof(f2182,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),c_COMBI(X5)),X0) = hAPP(hAPP(X4,X0),X0),
inference(superposition,[],[f2018,f2014]) ).
fof(f2208,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,X6)),c_COMBI(X7)),X8) = hAPP(X6,hAPP(X8,X8)),
inference(superposition,[],[f2016,f2182]) ).
fof(f2249,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( hBOOL(hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)),X7))
| hBOOL(hAPP(X7,X7)) ),
inference(superposition,[],[f2022,f2208]) ).
fof(f2250,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)),X7))
| ~ hBOOL(hAPP(X7,X7)) ),
inference(superposition,[],[f2021,f2208]) ).
fof(f2256,plain,
! [X2,X3,X0,X1,X6,X4,X5] : hBOOL(hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)),hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)))),
inference(factoring,[],[f2249]) ).
fof(f2284,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)),hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6))))
| hBOOL(hAPP(hAPP(hAPP(c_COMBS(X7,X8,X9),c_COMBB(X10,X11,X12,c_fNot)),c_COMBI(X13)),hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)))) ),
inference(resolution,[],[f2250,f2249]) ).
fof(f2294,plain,
! [X2,X3,X0,X1,X6,X4,X5] : ~ hBOOL(hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)),hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)))),
inference(forward_subsumption_resolution,[],[f2284,f2250]) ).
fof(f2297,plain,
$false,
inference(forward_subsumption_resolution,[],[f2294,f2256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT129+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 23:46:45 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 6.64/1.95 % (2887436)Detected formulas, will run a generic FOF schedule.
% 6.64/1.95 % (2887445)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3940432680:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.64/1.95 % (2887443)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3368396682:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.64/1.95 % (2887442)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3081522056:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.64/1.95 % (2887441)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=453996599:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.64/1.95 % (2887445)Instruction limit reached!
% 6.64/1.95 % (2887445)------------------------------
% 6.64/1.95 % (2887445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.95 % (2887445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.95 % (2887445)CaDiCaL version: 2.1.3
% 6.64/1.95 % (2887445)Termination reason: Instruction limit
% 6.64/1.95 % (2887445)Termination phase: Saturation
% 6.64/1.95 % (2887445)Time elapsed: 0.039 s
% 6.64/1.95 % (2887445)Peak memory usage: 89 MB
% 6.64/1.95 % (2887445)Instructions burned: 120 (million)
% 6.64/1.95 % (2887446)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3297131313:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.64/1.95 % (2887447)dis-21_1_sil=8000:lcm=predicate:random_seed=511548317:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.64/1.95 % (2887444)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3304340630:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.64/1.95 % (2887444)Refutation not found, incomplete strategy
% 6.64/1.95 % (2887444)------------------------------
% 6.64/1.95 % (2887444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.95 % (2887444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.95 % (2887444)CaDiCaL version: 2.1.3
% 6.64/1.95 % (2887444)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.95 % (2887444)Time elapsed: 0.004 s
% 6.64/1.95 % (2887444)Peak memory usage: 88 MB
% 6.64/1.95 % (2887444)Instructions burned: 4 (million)
% 6.64/1.95 % (2887447)Instruction limit reached!
% 6.64/1.95 % (2887447)------------------------------
% 6.64/1.95 % (2887447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.95 % (2887447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.95 % (2887447)CaDiCaL version: 2.1.3
% 6.64/1.95 % (2887447)Termination reason: Instruction limit
% 6.64/1.95 % (2887447)Termination phase: Saturation
% 6.64/1.95 % (2887447)Time elapsed: 0.066 s
% 6.64/1.95 % (2887447)Peak memory usage: 89 MB
% 6.64/1.95 % (2887447)Instructions burned: 129 (million)
% 6.64/1.95 % (2887446)Instruction limit reached!
% 6.64/1.95 % (2887446)------------------------------
% 6.64/1.95 % (2887446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.95 % (2887446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.95 % (2887446)CaDiCaL version: 2.1.3
% 6.64/1.95 % (2887446)Termination reason: Instruction limit
% 6.64/1.95 % (2887446)Termination phase: Saturation
% 6.64/1.95 % (2887446)Time elapsed: 0.080 s
% 6.64/1.95 % (2887446)Peak memory usage: 90 MB
% 6.64/1.95 % (2887446)Instructions burned: 140 (million)
% 6.64/1.95 % (2887452)lrs+10_1_sil=8000:sp=occurrence:random_seed=941191906:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.64/1.95 % (2887452)Instruction limit reached!
% 6.64/1.95 % (2887452)------------------------------
% 6.64/1.95 % (2887452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.95 % (2887452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.95 % (2887452)CaDiCaL version: 2.1.3
% 6.64/1.95 % (2887452)Termination reason: Instruction limit
% 6.64/1.95 % (2887452)Termination phase: Saturation
% 6.64/1.95 % (2887452)Time elapsed: 0.096 s
% 6.64/1.95 % (2887452)Peak memory usage: 92 MB
% 6.64/1.95 % (2887452)Instructions burned: 288 (million)
% 6.64/1.95 % (2887456)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1567978275:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.26/2.15 % (2887457)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3101214690:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.26/2.15 % (2887444)------------------------------
% 8.26/2.15 % (2887444)------------------------------
% 8.26/2.15 % (2887459)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=374844846:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.26/2.15 % (2887456)Instruction limit reached!
% 8.26/2.15 % (2887456)------------------------------
% 8.26/2.15 % (2887456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.15 % (2887456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.15 % (2887456)CaDiCaL version: 2.1.3
% 8.26/2.15 % (2887456)Termination reason: Instruction limit
% 8.26/2.15 % (2887456)Termination phase: Saturation
% 8.26/2.15 % (2887456)Time elapsed: 0.091 s
% 8.26/2.15 % (2887456)Peak memory usage: 90 MB
% 8.26/2.15 % (2887456)Instructions burned: 158 (million)
% 8.26/2.15 % (2887459)Instruction limit reached!
% 8.26/2.15 % (2887459)------------------------------
% 8.26/2.15 % (2887459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.15 % (2887459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.15 % (2887459)CaDiCaL version: 2.1.3
% 8.26/2.15 % (2887459)Termination reason: Instruction limit
% 8.26/2.15 % (2887459)Termination phase: Saturation
% 8.26/2.15 % (2887459)Time elapsed: 0.071 s
% 8.26/2.15 % (2887459)Peak memory usage: 91 MB
% 8.26/2.15 % (2887459)Instructions burned: 252 (million)
% 8.26/2.15 % (2887462)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=726946185:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.26/2.15 % (2887457)Instruction limit reached!
% 8.26/2.15 % (2887457)------------------------------
% 8.26/2.15 % (2887457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.15 % (2887457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.15 % (2887457)CaDiCaL version: 2.1.3
% 8.26/2.15 % (2887457)Termination reason: Instruction limit
% 8.26/2.15 % (2887457)Termination phase: Saturation
% 8.26/2.15 % (2887457)Time elapsed: 0.216 s
% 8.26/2.15 % (2887457)Peak memory usage: 91 MB
% 8.26/2.15 % (2887457)Instructions burned: 326 (million)
% 8.26/2.15 % (2887464)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=249203177:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.26/2.15 % (2887465)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=841299581:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.26/2.15 % (2887465)Instruction limit reached!
% 8.26/2.15 % (2887465)------------------------------
% 8.26/2.15 % (2887465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.15 % (2887465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.15 % (2887465)CaDiCaL version: 2.1.3
% 8.26/2.15 % (2887465)Termination reason: Instruction limit
% 8.26/2.15 % (2887465)Termination phase: Saturation
% 8.26/2.15 % (2887465)Time elapsed: 0.030 s
% 8.26/2.15 % (2887465)Peak memory usage: 89 MB
% 8.26/2.15 % (2887465)Instructions burned: 114 (million)
% 8.26/2.15 % (2887462)Instruction limit reached!
% 8.26/2.15 % (2887462)------------------------------
% 8.26/2.15 % (2887462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.15 % (2887462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.15 % (2887462)CaDiCaL version: 2.1.3
% 8.26/2.15 % (2887462)Termination reason: Instruction limit
% 8.26/2.15 % (2887462)Termination phase: Saturation
% 8.26/2.15 % (2887462)Time elapsed: 0.164 s
% 8.26/2.15 % (2887462)Peak memory usage: 90 MB
% 8.26/2.15 % (2887462)Instructions burned: 294 (million)
% 8.26/2.15 % (2887468)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2663059391:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.26/2.15 % (2887468)Instruction limit reached!
% 8.26/2.15 % (2887468)------------------------------
% 8.26/2.15 % (2887468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.15 % (2887468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.15 % (2887468)CaDiCaL version: 2.1.3
% 8.26/2.15 % (2887468)Termination reason: Instruction limit
% 8.26/2.15 % (2887468)Termination phase: Saturation
% 8.26/2.15 % (2887468)Time elapsed: 0.058 s
% 8.26/2.15 % (2887468)Peak memory usage: 89 MB
% 8.26/2.15 % (2887468)Instructions burned: 127 (million)
% 8.26/2.15 % (2887471)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1307795733:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.26/2.15 % (2887442)First to succeed.
% 8.26/2.15 % (2887442)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2887436"
% 8.26/2.15 % (2887472)lrs+10_1_sil=8000:sp=occurrence:random_seed=4189644932:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.26/2.15 % (2887471)Instruction limit reached!
% 8.26/2.15 % (2887471)------------------------------
% 8.26/2.15 % (2887471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.15 % (2887471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.15 % (2887471)CaDiCaL version: 2.1.3
% 8.26/2.15 % (2887471)Termination reason: Instruction limit
% 8.26/2.15 % (2887471)Termination phase: Saturation
% 8.26/2.15 % (2887471)Time elapsed: 0.054 s
% 8.26/2.15 % (2887471)Peak memory usage: 89 MB
% 8.26/2.15 % (2887471)Instructions burned: 115 (million)
% 8.26/2.15 % (2887474)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2779014704:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.26/2.15 % (2887441)Also succeeded, but the first one will report.
% 8.26/2.15 % (2887442)Refutation found. Thanks to Tanya!
% 8.26/2.15 % SZS status ContradictoryAxioms for theBenchmark
% 8.26/2.15 % SZS output start Proof for theBenchmark
% See solution above
% 8.26/2.15 % (2887442)------------------------------
% 8.26/2.15 % (2887442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/2.15 % (2887442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/2.15 % (2887442)CaDiCaL version: 2.1.3
% 8.26/2.15 % (2887442)Termination reason: Refutation
% 8.26/2.15 % (2887442)Time elapsed: 0.759 s
% 8.26/2.15 % (2887442)Peak memory usage: 143 MB
% 8.26/2.15 % (2887442)Instructions burned: 1485 (million)
% 8.26/2.15 % (2887442)------------------------------
% 8.26/2.15 % (2887442)------------------------------
% 8.26/2.15 % (2887436)Success in time 1.114 s
% 8.26/2.15 % Vampire exiting
%------------------------------------------------------------------------------