%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT043-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:02:12 PM UTC 2026
% Result : Unsatisfiable 2.34s 0.94s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 32 ( 15 unt; 0 def)
% Number of atoms : 65 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 64 ( 31 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
fof(f7,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ organization(X0)
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_38) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0)
| smaller(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_42) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X1) = position(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_45) ).
fof(f21,plain,
! [X2,X0,X1] :
( external_ties(X0,X1) != external_ties(X0,X2)
| ~ organization(X0)
| position(X0,X2) = position(X0,X1) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_46) ).
fof(f23,negated_conjecture,
~ has_immunity(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_47) ).
fof(f24,negated_conjecture,
~ has_immunity(sk1,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_48) ).
fof(f25,negated_conjecture,
stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_49) ).
fof(f26,negated_conjecture,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_50) ).
fof(f27,negated_conjecture,
external_ties(sk1,sk2) = external_ties(sk1,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_51) ).
fof(f28,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2_52) ).
fof(f29,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f30,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
fof(f64,plain,
! [X0] :
( external_ties(sk1,sk2) != external_ties(sk1,X0)
| ~ organization(sk1)
| position(sk1,sk3) = position(sk1,X0) ),
inference(superposition,[],[f21,f27]) ).
fof(f66,plain,
! [X0] :
( external_ties(sk1,sk2) != external_ties(sk1,X0)
| position(sk1,sk3) = position(sk1,X0) ),
inference(forward_subsumption_resolution,[],[f64,f22]) ).
fof(f85,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1)
| smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(resolution,[],[f16,f26]) ).
fof(f87,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(forward_subsumption_resolution,[],[f85,f22]) ).
fof(f88,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2))
| smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(forward_demodulation,[],[f87,f25]) ).
fof(f89,plain,
smaller(capability(sk1,sk3),capability(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f88,f30]) ).
fof(f90,plain,
greater(capability(sk1,sk2),capability(sk1,sk3)),
inference(resolution,[],[f89,f7]) ).
fof(f95,plain,
( has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| ~ organization(sk1)
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),
inference(resolution,[],[f90,f12]) ).
fof(f100,plain,
( has_immunity(sk1,sk2)
| ~ organization(sk1)
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),
inference(forward_subsumption_resolution,[],[f95,f24]) ).
fof(f101,plain,
( ~ organization(sk1)
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),
inference(forward_subsumption_resolution,[],[f100,f23]) ).
fof(f102,plain,
( ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),
inference(forward_subsumption_resolution,[],[f101,f22]) ).
fof(f121,plain,
position(sk1,sk3) = position(sk1,sk2),
inference(equality_resolution,[],[f66]) ).
fof(f166,plain,
( ~ greater_or_equal(position(sk1,sk2),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),
inference(forward_demodulation,[],[f102,f121]) ).
fof(f167,plain,
smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)),
inference(forward_subsumption_resolution,[],[f166,f29]) ).
fof(f196,plain,
greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(resolution,[],[f167,f7]) ).
fof(f198,plain,
$false,
inference(forward_subsumption_resolution,[],[f196,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT043-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.32 % DateTime : Sun Sep 27 17:26:05 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 Running first-order theorem proving
% 0.08/0.34 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
% 2.34/0.94 % (2611175)Input is clausal, will run a generic CNF schedule.
% 2.34/0.94 % (2611183)lrs+10_1_sil=8000:sp=occurrence:random_seed=953513757:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.34/0.94 % (2611185)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3720110161:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.34/0.94 % (2611182)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=969818149:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.34/0.94 % (2611184)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2302832254:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.34/0.94 % (2611186)dis-21_1_sil=8000:lcm=predicate:random_seed=1669321554: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)
% 2.34/0.94 % (2611181)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=330822079:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.34/0.94 % (2611180)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=4014581148:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.34/0.94 % (2611183)First to succeed.
% 2.34/0.94 % (2611185)Also succeeded, but the first one will report.
% 2.34/0.94 % (2611183)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2611175"
% 2.34/0.94 % (2611186)Instruction limit reached!
% 2.34/0.94 % (2611186)------------------------------
% 2.34/0.94 % (2611186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.94 % (2611186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.94 % (2611186)CaDiCaL version: 2.1.3
% 2.34/0.94 % (2611186)Termination reason: Instruction limit
% 2.34/0.94 % (2611186)Termination phase: Saturation
% 2.34/0.94 % (2611186)Time elapsed: 0.024 s
% 2.34/0.94 % (2611186)Peak memory usage: 87 MB
% 2.34/0.94 % (2611186)Instructions burned: 120 (million)
% 2.34/0.94 % (2611184)Instruction limit reached!
% 2.34/0.94 % (2611184)------------------------------
% 2.34/0.94 % (2611184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.94 % (2611184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.94 % (2611184)CaDiCaL version: 2.1.3
% 2.34/0.94 % (2611184)Termination reason: Instruction limit
% 2.34/0.94 % (2611184)Termination phase: Saturation
% 2.34/0.94 % (2611184)Time elapsed: 0.036 s
% 2.34/0.94 % (2611184)Peak memory usage: 88 MB
% 2.34/0.94 % (2611184)Instructions burned: 116 (million)
% 2.34/0.94 % (2611194)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=577213989:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.34/0.94 % (2611194)Also succeeded, but the first one will report.
% 2.34/0.94 % (2611195)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2171161555:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 2.34/0.94 % (2611195)Refutation not found, incomplete strategy
% 2.34/0.94 % (2611195)------------------------------
% 2.34/0.94 % (2611195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.94 % (2611195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.94 % (2611195)CaDiCaL version: 2.1.3
% 2.34/0.94 % (2611195)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.94 % (2611195)Time elapsed: 0.002 s
% 2.34/0.94 % (2611195)Peak memory usage: 88 MB
% 2.34/0.94 % (2611195)Instructions burned: 5 (million)
% 2.34/0.94 % (2611183)Refutation found. Thanks to Tanya!
% 2.34/0.94 % SZS status Unsatisfiable for theBenchmark
% 2.34/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.94 % (2611183)------------------------------
% 2.34/0.94 % (2611183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.34/0.94 % (2611183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.94 % (2611183)CaDiCaL version: 2.1.3
% 2.34/0.94 % (2611183)Termination reason: Refutation
% 2.34/0.94 % (2611183)Time elapsed: 0.004 s
% 2.34/0.94 % (2611183)Peak memory usage: 88 MB
% 2.34/0.94 % (2611183)Instructions burned: 8 (million)
% 2.34/0.94 % (2611183)------------------------------
% 2.34/0.94 % (2611183)------------------------------
% 2.34/0.94 % (2611175)Success in time 0.299 s
% 2.34/0.94 % Vampire exiting
%------------------------------------------------------------------------------