%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL748-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:56:26 AM UTC 2026
% Result : Unsatisfiable 6.15s 1.99s
% Output : Refutation 6.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f392,axiom,
! [X0] : c_Suc(X0) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__eq__plus1_0) ).
fof(f420,axiom,
! [X0,X1] : c_Lambda_Olift(c_Lambda_OdB_OAbs(X0),X1) = c_Lambda_OdB_OAbs(c_Lambda_Olift(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lift_Osimps_I3_J_0) ).
fof(f430,axiom,
! [X0] :
( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0))
| ~ c_InductTermi_OIT(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Lambda_0) ).
fof(f435,negated_conjecture,
! [X0] : c_InductTermi_OIT(c_Lambda_Olift(v_r,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f436,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f476,plain,
! [X0,X1] :
( c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(X0),X1))
| ~ c_InductTermi_OIT(c_Lambda_Olift(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ),
inference(superposition,[],[f430,f420]) ).
fof(f1829,plain,
! [X0,X1] :
( c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(X0),X1))
| ~ c_InductTermi_OIT(c_Lambda_Olift(X0,c_Suc(X1))) ),
inference(forward_demodulation,[],[f476,f392]) ).
fof(f1830,plain,
~ c_InductTermi_OIT(c_Lambda_Olift(v_r,c_Suc(v_ia))),
inference(resolution,[],[f1829,f436]) ).
fof(f1839,plain,
$false,
inference(forward_subsumption_resolution,[],[f1830,f435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL748-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n016.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 16:48:32 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.46 Running first-order theorem proving
% 0.14/0.46 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
% 6.15/1.99 % (2835449)Input is clausal, will run a generic CNF schedule.
% 6.15/1.99 % (2835459)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1194356075:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.15/1.99 % (2835458)lrs+10_1_sil=8000:sp=occurrence:random_seed=2827945255:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.15/1.99 % (2835459)Instruction limit reached!
% 6.15/1.99 % (2835459)------------------------------
% 6.15/1.99 % (2835459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.99 % (2835459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.99 % (2835459)CaDiCaL version: 2.1.3
% 6.15/1.99 % (2835459)Termination reason: Instruction limit
% 6.15/1.99 % (2835459)Termination phase: Saturation
% 6.15/1.99 % (2835459)Time elapsed: 0.058 s
% 6.15/1.99 % (2835459)Peak memory usage: 88 MB
% 6.15/1.99 % (2835459)Instructions burned: 114 (million)
% 6.15/1.99 % (2835458)Instruction limit reached!
% 6.15/1.99 % (2835458)------------------------------
% 6.15/1.99 % (2835458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.99 % (2835458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.99 % (2835458)CaDiCaL version: 2.1.3
% 6.15/1.99 % (2835458)Termination reason: Instruction limit
% 6.15/1.99 % (2835458)Termination phase: Saturation
% 6.15/1.99 % (2835458)Time elapsed: 0.077 s
% 6.15/1.99 % (2835458)Peak memory usage: 88 MB
% 6.15/1.99 % (2835458)Instructions burned: 108 (million)
% 6.15/1.99 % (2835455)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=296242210:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.15/1.99 % (2835456)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1553636412:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.15/1.99 % (2835457)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3337320836:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.15/1.99 % (2835461)dis-21_1_sil=8000:lcm=predicate:random_seed=2654820703: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)
% 6.15/1.99 % (2835460)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2764340720:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.15/1.99 % (2835460)First to succeed.
% 6.15/1.99 % (2835460)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2835449"
% 6.15/1.99 % (2835461)Instruction limit reached!
% 6.15/1.99 % (2835461)------------------------------
% 6.15/1.99 % (2835461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.99 % (2835461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.99 % (2835461)CaDiCaL version: 2.1.3
% 6.15/1.99 % (2835461)Termination reason: Instruction limit
% 6.15/1.99 % (2835461)Termination phase: Saturation
% 6.15/1.99 % (2835461)Time elapsed: 0.106 s
% 6.15/1.99 % (2835461)Peak memory usage: 88 MB
% 6.15/1.99 % (2835461)Instructions burned: 118 (million)
% 6.15/1.99 % (2835464)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=293983983:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.15/1.99 % (2835464)Refutation not found, incomplete strategy
% 6.15/1.99 % (2835464)------------------------------
% 6.15/1.99 % (2835464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.99 % (2835464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.99 % (2835464)CaDiCaL version: 2.1.3
% 6.15/1.99 % (2835464)Termination reason: Refutation not found, incomplete strategy
% 6.15/1.99 % (2835464)Time elapsed: 0.005 s
% 6.15/1.99 % (2835464)Peak memory usage: 88 MB
% 6.15/1.99 % (2835464)Instructions burned: 6 (million)
% 6.15/1.99 % (2835465)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1984670621: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)
% 6.15/1.99 % (2835465)Also succeeded, but the first one will report.
% 6.15/1.99 % (2835464)------------------------------
% 6.15/1.99 % (2835464)------------------------------
% 6.15/1.99 % (2835471)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3066356054:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.15/1.99 % (2835471)Refutation not found, incomplete strategy
% 6.15/1.99 % (2835471)------------------------------
% 6.15/1.99 % (2835471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.99 % (2835471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.99 % (2835471)CaDiCaL version: 2.1.3
% 6.15/1.99 % (2835471)Termination reason: Refutation not found, incomplete strategy
% 6.15/1.99 % (2835471)Time elapsed: 0.010 s
% 6.15/1.99 % (2835471)Peak memory usage: 88 MB
% 6.15/1.99 % (2835471)Instructions burned: 9 (million)
% 6.15/1.99 % (2835460)Refutation found. Thanks to Tanya!
% 6.15/1.99 % SZS status Unsatisfiable for theBenchmark
% 6.15/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 6.15/1.99 % (2835460)------------------------------
% 6.15/1.99 % (2835460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.99 % (2835460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.99 % (2835460)CaDiCaL version: 2.1.3
% 6.15/1.99 % (2835460)Termination reason: Refutation
% 6.15/1.99 % (2835460)Time elapsed: 0.068 s
% 6.15/1.99 % (2835460)Peak memory usage: 89 MB
% 6.15/1.99 % (2835460)Instructions burned: 60 (million)
% 6.15/1.99 % (2835460)------------------------------
% 6.15/1.99 % (2835460)------------------------------
% 6.15/1.99 % (2835449)Success in time 0.779 s
% 6.15/1.99 % Vampire exiting
%------------------------------------------------------------------------------